Popular Problems. Algebra. Solve by Factoring 2x^2-6x=0. 2x2 − 6x = 0 2 x 2 - 6 x = 0. Factor 2x 2 x out of 2x2 −6x 2 x 2 - 6 x. Tap for more steps... 2x(x−3) = 0 2 x ( x - 3) = 0. If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. x = 0 x = 0. x2+6x+5=0 Two solutions were found : x = -1 x = -5 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+6x+5 The first term is, x2 its ... 2x2+6x+5=0 Two solutions were found : x = (-6-√-4)/4= (-3-i)/2= -1.5000-0.5000i x = (-6+√-4)/4= (-3+i)/2= -1.5000+0.5000i Step by step solution : Step 1 ...Here are some examples illustrating how to ask about factoring. factor quadratic x^2-7x+12. expand polynomial (x-3) (x^3+5x-2) GCD of x^4+2x^3-9x^2+46x-16 with x^4-8x^3+25x^2 …Factor 6x^2-x-1. 6x2 − x − 1 6 x 2 - x - 1. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 6⋅−1 = −6 a ⋅ c …2.2 Solving x2+6x+1 = 0 by Completing The Square . Subtract 1 from both side of the equation : x2+6x = -1. Now the clever bit: Take the coefficient of x , which is 6 , divide by two, giving 3 , and finally square it giving 9. Add 9 to both sides of the equation : On the right hand side we have : -1 + 9 or, (-1/1)+ (9/1)Free Polynomial Standard Form Calculator - Reorder the polynomial function in standard form step-by-step. Step 2 : Trying to factor by splitting the middle term. 2.1 Factoring 9x2-6x+1. The first term is, 9x2 its coefficient is 9 . The middle term is, -6x its coefficient is -6 . The last term, "the constant", is +1. Step-1 : Multiply the coefficient of the first term by the constant 9 • 1 = 9. Step-2 : Find two factors of 9 whose sum equals the ... 5x2-6x-11=0 Two solutions were found : x = -1 x = 11/5 = 2.200 Step by step solution : Step 1 :Equation at the end of step 1 : (5x2 - 6x) - 11 = 0 Step 2 :Trying to factor by splitting ... 5x2-6x-13=0 Two solutions were found : x = (6-√296)/10= (3-√ 74 )/5= -1.120 x = (6+√296)/10= (3+√ 74 )/5= 2.320 Step by step solution : Step 1 ...Solve by Factoring x^2+6x=0. Step 1. Factor out of . Tap for more steps... Step 1.1. Factor out of . Step 1.2. Factor out of . Step 1.3. Factor out of . Step 2. If any individual factor on the left side of the equation is equal to , the entire expression will be equal to . Step 3. Set equal to . Step 4. Set equal to and solve for .4x2-6x+9 Final result : 4x2 - 6x + 9 Step by step solution : Step 1 :Equation at the end of step 1 : (22x2 - 6x) + 9 Step 2 :Trying to factor by splitting the middle term 2.1 Factoring ... x2-6x+1 Final result : x2 - 6x + 1 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2-6x+1 The first term is, x2 ...the answer. z (x)=6x^3+bx^2-52x+15 can be written. z (x)=6x^3+bx^2-52x+15= (x+5) (ax²+bx+c) because z (-5)=0, and since z (2)=35, we have 6.2^3+4b-104+15=35, we can find the value of b. 4b=76 so b=19. we can write z (x)=6x^3+19x^2-52x+15= (x+5) (ax²+bx+c)=az^3+ (b+5a)x²+5bx+10c. by identification, a=6, 15=10c, c =3/2.Divide \frac{6}{5}, the coefficient of the x term, by 2 to get \frac{3}{5}. Then add the square of \frac{3}{5} to both sides of the equation. This step makes the left hand side of the equation a perfect square.4.3 Solving x2-3x-1 = 0 by Completing The Square . Add 1 to both side of the equation : x2-3x = 1. Now the clever bit: Take the coefficient of x , which is 3 , divide by two, giving 3/2 , and finally square it giving 9/4. Add 9/4 to both sides of the equation : On the right hand side we have : 1 + 9/4 or, (1/1)+ (9/4)x2-6x-1=0 Two solutions were found : x = (6-√40)/2=3-√ 10 = -0.162 x = (6+√40)/2=3+√ 10 = 6.162 Step by step solution : Step 1 :Trying to factor by splitting the middle term ... 2x2-6x-1=0 Two solutions were found : x = (6-√44)/4= (3-√ 11 )/2= -0.158 x = (6+√44)/4= (3+√ 11 )/2= 3.158 Step by step solution : Step 1 :Equation at ...Factor 6x^2-x-1. 6x2 − x − 1 6 x 2 - x - 1. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 6⋅−1 = −6 a ⋅ c = 6 ⋅ - 1 = - 6 and whose sum is b = −1 b = - 1. Tap for more steps... 6x2 + 2x−3x−1 6 x 2 + 2 x - 3 x - 1. Factor out the greatest common ...Differentiation. dxd (x − 5)(3x2 − 2) Integration. ∫ 01 xe−x2dx. Limits. x→−3lim x2 + 2x − 3x2 − 9. Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.10 Contoh soal polinomial dan pembahasannya. Nilai dari 6x 5 + 2x 3 + 4x 2 + 6 untuk x = -1 adalah …. Jika nilai dari 2x 4 + mx 3 – 8x + 3 untuk x = 3 adalah 6 maka m adalah …. Jika f (x) = x 3 + 5x 2 – 3x + 9 dibagi (x – 2) maka hasil baginya adalah …. Jadi hasil bagi = x 2 + 7x = 11 dan sisa = 31. Soal ini jawabannya D.3.2 Factoring x2 - 6x + 18. The first term is, x2 its coefficient is 1 . The middle term is, -6x its coefficient is -6 . The last term, "the constant", is +18. Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18. Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is -6 . -18. +.Equation at the end of step 1 (2x2 - 6x) - 1 = 0 . STEP. 2: Trying to factor by splitting the middle term. 2.1 Factoring 2x2-6x-1 . The first term is, 2x2 its coefficient is 2 . The middle term is, -6x its coefficient is -6 . The last term, "the constant", is -1 . Step-1 : Multiply the coefficient of the first term by the constant 2 • -1 = -2Pre-Algebra. Solve for x 2x^2-6x-20=0. 2x2 − 6x − 20 = 0 2 x 2 - 6 x - 20 = 0. Factor the left side of the equation. Tap for more steps... 2(x−5)(x +2) = 0 2 ( x - 5) ( x + 2) = 0. If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. x−5 = 0 x - 5 = 0. x+2 = 0 x + 2 = 0.If a, b, and c are real numbers and a ≠ 0 then When b² − 4ac > 0, there are two distinct real roots or solutions to the equation ax² + bx + c = 0. When b² − 4ac = 0, there is one repeated real solution. When b² − 4ac < 0, there are two distinct complex solutions, which are complex conjugates of each other. Trinomial.Free Complete the Square calculator - complete the square for quadratic functions step-by-step. Functions. A function basically relates an input to an output, there’s an input, a relationship and an output. For every input... Read More. Save to Notebook! Sign in. Send us Feedback. Free x intercepts calculator - find function's x-axis intercepts step-by-step.Two numbers r and s sum up to -6 exactly when the average of the two numbers is \frac{1}{2}*-6 = -3. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C. x^2-1=0; x^2+2x+1=3x-10; 2x^2+4x-6=0; Show More; Description. Solve quadratic equations step-by-step. quadratic-equation-calculator. 9x^{2}-6x+1=0. en. Related ...Algebra. Solve by Completing the Square 6x^2-6x-1=0. 6x2 - 6x - 1 = 0. Add 1 to both sides of the equation. 6x2 - 6x = 1. Divide each term in 6x2 - 6x = 1 by 6 and simplify. Tap for more steps... x2 - x = 1 6. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b. (f o g)(x) = 2x 2 + 6x – 7 f(g(x)) = 2x 2 + 6x – 7 2(g(x)) + 3 = 2x 2 + 6x – 7 2 (g(x)) = 2x 2 + 6x –7– 3 2 (g(x)) = 2x 2 + 6x –10 g(x) = x 2 + 3x – 5 (f o g)(x ... 5.0 (3 rating) N4. Nugraha 4267. Bantu banget Mudah dimengerti. Iklan. Iklan. Klaim Gold gratis sekarang! Dengan Gold kamu bisa tanya soal ke Forum sepuasnya, lho. ...Two numbers r and s sum up to -6 exactly when the average of the two numbers is \frac{1}{2}*-6 = -3. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.Click here👆to get an answer to your question ️ Find the roots of the following quadratic equation by using the quadratic formula 2x^2 - 2√(2)x + 1 = 0Two numbers r and s sum up to 6 exactly when the average of the two numbers is \frac{1}{2}*6 = 3. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.Solve by Completing the Square x^2-6x-1=0. x2 − 6x − 1 = 0 x 2 - 6 x - 1 = 0. Add 1 1 to both sides of the equation. x2 − 6x = 1 x 2 - 6 x = 1. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b b. (b 2)2 = (−3)2 ( b 2) 2 = ( - 3) 2. Add the term to each side of the equation. Solve Using the Quadratic Formula x^2+6x-1=0. x2 + 6x − 1 = 0 x 2 + 6 x - 1 = 0. Use the quadratic formula to find the solutions. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Substitute the values a = 1 a = 1, b = 6 b = 6, and c = −1 c = - 1 into the quadratic formula and solve for x x. −6±√62 −4⋅ (1⋅−1) 2⋅1 - 6 ± 6 2 ... Help Tutorial. Solve an equation, inequality or a system. Example: 2x-1=y,2y+3=x. 1. 2. 3. 4. 5. 6.Algebra. Solve by Completing the Square 6x^2-6x-1=0. 6x2 - 6x - 1 = 0. Add 1 to both sides of the equation. 6x2 - 6x = 1. Divide each term in 6x2 - 6x = 1 by 6 and simplify. Tap for more steps... x2 - x = 1 6. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b. Solve Solve for x x = 211+3 ≈ 3.158312395 x = 23− 11 ≈ −0.158312395 Steps Using the Quadratic Formula Steps for Completing the Square Steps Using Direct Factoring Method View solution steps Graph Graph Both Sides in 2D Graph in 2D Quiz Quadratic Equation 2x2 −6x−1 = 0 Similar Problems from Web Search 2x2 − 6x − 1 = 0Example 9.2.3. Solve by completing the square: x2 + 14x + 46 = 0. Solution: Step 1: Add or subtract the constant term to obtain the equation in the form x2 + bx = c. In this example, subtract 46 to move it to the right side of the equation. Step 2: Use (b 2)2 to determine the value that completes the square. Here b = 14:x2-6x-91=0 Two solutions were found : x = 13 x = -7 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2-6x-91 The first term is, x2 its ... -x2-6x-91=0 Two solutions were found : x = (6-√-328)/-2=3+i√ 82 = -3.0000-9.0554i x = (6+√-328)/-2=3-i√ 82 = -3.0000+9.0554i Step by step solution : Step 1 ...2*x^2-(6*x-1)=0 . Step by step solution : Step 1 : Equation at the end of step 1 : 2x 2 - (6x - 1) = 0 Step 2 : Trying to factor by splitting the middle term 2.1 Factoring 2x 2-6x+1 The first term is, 2x 2 its coefficient is 2 . The middle term is, -6x its coefficient is -6 . The last term, "the constant", is +1 Aug 10, 2020 · 2x 2 + 3x – 2 = 0; x 2 – 6x + 9 = 0; x 2 – 16 = 0; Contoh soal persamaan kuadrat. Contoh soal 1. Himpunan penyelesaian dari persamaan kuadrat 2x 2 – 4x = 0 adalah… A. 0 atau 1 B. 0 atau 2 Find the Discriminant 9x^2+6x+1=0. 9x2 + 6x + 1 = 0 9 x 2 + 6 x + 1 = 0. The discriminant of a quadratic is the expression inside the radical of the quadratic formula. b2 − 4(ac) b 2 - 4 ( a c) Substitute in the values of a a, b b, and c c. 62 − 4(9⋅1) 6 2 - 4 ( 9 ⋅ 1) Evaluate the result to find the discriminant.Function Line f(x) = 2x2 6x − y + 1 = 0 Find the slope of the tangent line to the graph of the function at the given point. This problem has been solved! ... = 2x 2. 6x − y + 1 = 0. Find the slope of the tangent line to the graph of the function at the given point. g(x) = 4: x + 7, (-5, 3) 5: Expert Answer.The JetBlue Plus card earns 30,000 points for signing up and then 6x points on JetBlue, 2x points for Dining and Groceries, and 1x everywhere else! We may be compensated when you click on product links, such as credit cards, from one or mor...6x - 2(x + 1) > 0. en. Related Symbolab blog posts. Practice Makes Perfect. Learning math takes practice, lots of practice. Just like running, it takes practice and ...Click here to get an answer to your question ✍️ If alpha, beta, gamma are the roots of the equation 2x^3 - 3x^2 + 6x + 1 = 0 , then alpha^2 + beta^2 + ...Click here to see ALL problems on Quadratic Equations. Question 82198: 1) 2x^2-6x+1=0. 2) 4x^2-6x-1=0. Found 2 solutions by jim_thompson5910, checkley75: Answer by jim_thompson5910 (35256) ( Show Source ): You can put this solution on YOUR website! 1) Solved by pluggable solver: SOLVE quadratic equation with variable.6x2-6x=0 Two solutions were found : x = 1 x = 0 Step by step solution : Step 1 :Equation at the end of step 1 : (2•3x2) - 6x = 0 Step 2 : Step 3 :Pulling out like terms : 3.1 ... 6x2-36x=0 Two solutions were found : x = 6 x = 0 Step by step solution : Step 1 :Equation at the end of step 1 : (2•3x2) - 36x = 0 Step 2 : Step 3 :Pulling out ...Solve by Completing the Square x^2-6x-1=0 | Mathway Algebra Examples Popular Problems Algebra Solve by Completing the Square x^2-6x-1=0 x2 − 6x − 1 = 0 x 2 - 6 x - 1 = 0 Add 1 1 to both sides of the equation. x2 − 6x = 1 x 2 - 6 x = 1Solution, 3a. Solve Quadratic equation by completing square method. 2 x 2 + 6 x + 1 = 0. Subtract 1 from both sides of the equation. 2 x 2 + 6 x = − 1. Divide each term in 2 x 2 + 6 x = − 1 by 2 and simplify. x 2 + 3 x = − 1 2. To create a trinomial square on the left side of the equation, find a value that is equal to the squ...giải phương trình : \ (2x^2-6x-1=\sqrt {4x+5}\) - Hoc24. Đăng nhập Đăng ký. Lớp 9. Chủ đề. Chương I - Căn bậc hai. Căn bậc ba. Chương II - Hàm số bậc nhất. Chương III - Hệ hai …Popular Problems Algebra Solve by Factoring 2x^2-6x=0 2x2 − 6x = 0 2 x 2 - 6 x = 0 Factor 2x 2 x out of 2x2 −6x 2 x 2 - 6 x. Tap for more steps... 2x(x−3) = 0 2 x ( x - 3) = 0 If any …Algebra Examples. Solve Using the Quadratic Formula 6x^2-2x-1=0. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework …Solve Quadratic Equation by Completing The Square. 2.2 Solving x2-6x-1 = 0 by Completing The Square . Add 1 to both side of the equation : x2-6x = 1. Now the clever bit: Take the coefficient of x , which is 6 , divide by two, giving 3 , and finally square it giving 9. Add 9 to both sides of the equation : On the right hand side we have : The following steps would be useful to find the maximum and minimum value of a function using first and second derivatives. Step 1 : Let f (x) be a function. Find the first derivative of f (x), which is f' (x). Step 2 : Equate the first derivative f' (x) to zero and solve for x, which are called critical numbers. Step 3 :Solution: The complex zero calculator can be writing the \ ( 4x^2 – 9 \) value as \ ( 2.2x^2- (3.3) \) Where, it is (2x + 3) (2x-3). For finding zeros of a function, the real zero calculator set the above expression to 0. Similarly, the zeros of a function calculator takes the second value 2x-3 = 0. 3.2 Factoring x2 - 6x + 18. The first term is, x2 its coefficient is 1 . The middle term is, -6x its coefficient is -6 . The last term, "the constant", is +18. Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18. Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is -6 . -18. +.Click here👆to get an answer to your question ️ If alpha, beta, gamma are the roots of the equation 2x^3 - 3x^2 + 6x + 1 = 0 , then alpha^2 + beta^2 + gamma^2 is equal to. Solve Study Textbooks Guides. ... If α, β are the roots of x 2 + p x + 1 = 0 and γ, δ are the roots of x 2 + q x + 1 = 0; ...Algebra. Solve by Completing the Square 2x^2+6x+3=0. 2x2 + 6x + 3 = 0. Subtract 3 from both sides of the equation. 2x2 + 6x = - 3. Divide each term in 2x2 + 6x = - 3 by 2 and simplify. Tap for more steps... x2 + 3x = - 3 2. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b. Determine la solución de la siguiente ecuación cuadrática: $3x^2+6x-1=2x^2+13x-7$3 x 2+6 x −1=2 x 2+13 x −7. Respuesta correcta: x = 6; x = 1. 0. 0.Two numbers r and s sum up to -6 exactly when the average of the two numbers is \frac{1}{2}*-6 = -3. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.Given a general quadratic equation of the form whose discriminant b²-4ac is positive, with x representing an unknown, with a, b and c representing constants, and with a ≠ 0, the quadratic formula is: where the plus-minus symbol "±" indicates that the quadratic equation has two solutions.Solve Using the Quadratic Formula 2x^2-2x-1=0. 2x2 − 2x − 1 = 0 2 x 2 - 2 x - 1 = 0. Use the quadratic formula to find the solutions. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Substitute the values a = 2 a = 2, b = −2 b = - 2, and c = −1 c = - 1 into the quadratic formula and solve for x x. 2±√(−2)2 −4 ⋅(2⋅−1) 2⋅ ... 3.2 Solving 3x2-6x+1 = 0 by Completing The Square . Divide both sides of the equation by 3 to have 1 as the coefficient of the first term : x2-2x+ (1/3) = 0. Subtract 1/3 from both side of the equation : x2-2x = -1/3. Now the clever bit: Take the coefficient of x , which is 2 , divide by two, giving 1 , and finally square it giving 1.Completing the square is a method that represents a quadratic equation as a combination of quadrilateral used to form a square. The basis of this method is to discover a special value that when added to both sides of the quadratic that will create a perfect square trinomial. That special value is found by evaluation the expression (b 2)2 where ...Solve the equation for x x. Tap for more steps... x = ± √7 2 + 3 2 x = ± 7 2 + 3 2 The result can be shown in multiple forms. Exact Form: x = ± √7 2 + 3 2 x = ± 7 2 + 3 2 Decimal Form: x = 2.82287565…,0.17712434… x = 2.82287565 …, 0.17712434 … x^2-1=0; x^2+2x+1=3x-10; 2x^2+4x-6=0; Show More; Description. Solve quadratic equations step-by-step. Frequently Asked Questions (FAQ) ... There can be 0, 1 or 2 solutions to a quadratic equation. If the discriminant is positive there are two solutions, if negative there is no solution, if equlas 0 there is 1 solution. ...Solve by Factoring 6x^2-2x=0. 6x2 − 2x = 0 6 x 2 - 2 x = 0. Factor 2x 2 x out of 6x2 −2x 6 x 2 - 2 x. Tap for more steps... 2x(3x−1) = 0 2 x ( 3 x - 1) = 0. If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. x = 0 x = 0. 3x−1 = 0 3 x - 1 = 0. Set x x equal to 0 0.Algebra Solve Using the Quadratic Formula 2x^2-6x+1=0 2x2 − 6x + 1 = 0 2 x 2 - 6 x + 1 = 0 Use the quadratic formula to find the solutions. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a Substitute the values a = 2 a = 2, b = −6 b = - 6, and c = 1 c = 1 into the quadratic formula and solve for x x.x2 + y2 + 6x − 2y + 1 = 0 x 2 + y 2 + 6 x - 2 y + 1 = 0. Subtract 1 1 from both sides of the equation. x2 + y2 +6x−2y = −1 x 2 + y 2 + 6 x - 2 y = - 1. Complete the square for x2 +6x x 2 + 6 x. Tap for more steps... (x+3)2 −9 ( x + 3) 2 - 9. Substitute (x+3)2 − 9 ( x + 3) 2 - 9 for x2 +6x x 2 + 6 x in the equation x2 + y2 +6x−2y ...Jun 5, 2018 · 1. You have the following quadratic equation given in the exercise above: 2x²−6x+1=0 2. The quadratic equation is: x=[-b±√(b²-4ac)]/2a Where: a=2 b=-6 c=1 3. When you substitute these values into the quadratic equation, you obtain: x=3/2-√(7)/2 x=3/2+√(7)/2 Step 2 : Trying to factor by splitting the middle term. 2.1 Factoring 9x2-6x+1. The first term is, 9x2 its coefficient is 9 . The middle term is, -6x its coefficient is -6 . The last term, "the constant", is +1. Step-1 : Multiply the coefficient of the first term by the constant 9 • 1 = 9. Step-2 : Find two factors of 9 whose sum equals the ... (Bawalah turun pangkat 2 dalam x 2 sebagai koefisien, hapus x dalam -5x, dan ubah 19 menjadi 0) 2x + y 2 - 5 + 8y + 2xy 2 = 0 ... (6x + 1) (6x + 1)cos(3x 2 + x) 3. Untuk persamaan dengan variabel-variabel x, y, dan z, carilah (dz/dx) dan (dz/dy). Meskipun tidak biasa dalam kalkulus dasar, beberapa penerapan lanjut mungkin membutuhkan turunan ...f (x) = −x2−2x−1 Explanation: To rewrite the function in standard form, expand the brackets: f (x)= 8(x+1)2 −(3x+3)2 ... (x+3)2- (x+3)-20=0 Two solutions were found : x = 2 x = -7 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+5x-14 The first term is, x2 ... How do you solve (x + 2)2 − ...It isn't easy to immediately see how $2x^2-1$ can factor (or if it can) but $2x^2 - 1 \equiv 2x^2 + 6\equiv 2(x^2 +3)$ so if we can find $-k^2 \equiv 3\pmod 7$ we can have a difference of squares. $3 \equiv -4.. $ and ... that was quick. So $2x^3+5x^2 + 6x + 1\equiv (2x^2-1)(x-1)$ $\equiv 2(x^2+3)(x-1)\equiv 2(x^2 -4)(x-1)$ $\equiv 2(x+2)(x-2 ...Solve this equation by completing the square. x=sqrt10-3 x=-sqrt10-3 Solve x^2+6x-1=0 We are going to create a perfect square trinomial on the left side of the equation. A perfect square trinomial has the form a^2+2ab+b^2=(a+b)^2. Then we can factor the perfect square trinomial and solve for x. Add the constant term (1) to both sides of the equation. x^2+6x=1 Divide the coefficient of the x ...Completing the square is a method that represents a quadratic equation as a combination of quadrilateral used to form a square. The basis of this method is to discover a special value that when added to both sides of the quadratic that will create a perfect square trinomial. That special value is found by evaluation the expression (b 2)2 where ...(Bawalah turun pangkat 2 dalam x 2 sebagai koefisien, hapus x dalam -5x, dan ubah 19 menjadi 0) 2x + y 2 - 5 + 8y + 2xy 2 = 0 ... (6x + 1) (6x + 1)cos(3x 2 + x) 3. Untuk persamaan dengan variabel-variabel x, y, dan z, carilah (dz/dx) dan (dz/dy). Meskipun tidak biasa dalam kalkulus dasar, beberapa penerapan lanjut mungkin membutuhkan turunan ...Get Step by Step Now. Starting at $5.00/month. Get step-by-step answers and hints for your math homework problems. Learn the basics, check your work, gain insight on different ways to solve problems. For chemistry, calculus, algebra, trigonometry, equation solving, basic math and more.The quadratic equation is 2 x 2 − 2 2 x + 1 = 0. Comparing it with standard form of quadratic equation a x 2 + b x + c = 0 ,we get a = 2 , b = − 2 2 , c = 1 Therefore the roots of the quadratic equation are, Solution, 3a. Solve Quadratic equation by completing square method. 2 x 2 + 6 x + 1 = 0. Subtract 1 from both sides of the equation. 2 x 2 + 6 x = − 1. Divide each term in 2 x 2 + 6 x = − 1 by 2 and simplify. x 2 + 3 x = − 1 2. To create a trinomial square on the left side of the equation, find a value that is equal to the squ...Step 2: Click the blue arrow to submit. Choose "Find the Tangent Line at the Point" from the topic selector and click to see the result in our Calculus Calculator ! Examples . Find the Tangent Line at (1,0) Popular Problems . Find the Tangent Line at the Point 2 x 2 + y 2 = 12, (2,-2) Find the Tangent Line at the Point y = 7 x x + 4, (3, 3)Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.8x3-12x2+6x+1=0 One solution was found : x ≓ -0.129960537 Step by step solution : Step 1 :Equation at the end of step 1 : ( ( (8 • (x3)) - (22•3x2)) + 6x) + 1 = 0 Step 2 ... 8x3-18x2+13x-3=0 Three solutions were found : x = 3/4 = 0.750 x = 1/2 = 0.500 x = 1 Step by step solution : Step 1 :Equation at the end of step 1 : ( ( (8 • (x3 ...The following steps would be useful to find the maximum and minimum value of a function using first and second derivatives. Step 1 : Let f (x) be a function. Find the first derivative of f (x), which is f' (x). Step 2 : Equate the first derivative f' (x) to zero and solve for x, which are called critical numbers. Step 3 :Solving exponential equations is pretty straightforward; there are basically two techniques: <ul> If the exponents... Read More Save to Notebook! Sign in Free equations calculator - solve linear, quadratic, polynomial, radical, exponential and logarithmic equations with all the steps. Type in any equation to get the solution, steps and graph2x2-6x+4=0 Two solutions were found : x = 2 x = 1 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 6x) + 4 = 0 Step 2 : Step 3 :Pulling out like terms : 3.1 ... 3x2-6x+4=0 Two solutions were found : x = (6-√-12)/6=1-i/3√ 3 = 1.0000-0.5774i x = (6+√-12)/6=1+i/3√ 3 = 1.0000+0.5774i Step by step solution : Step 1 ... Algebra. Solve by Completing the Square 6x^2-6x-1=0. 6x2 - 6x - 1 = 0. Add 1 to both sides of the equation. 6x2 - 6x = 1. Divide each term in 6x2 - 6x = 1 by 6 and simplify. Tap for more steps... x2 - x = 1 6. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b.Cara menjawab soal ini kita misalkan y = 4x maka 2x = 1/2 y, jadi bentuk limit menjadi: → . lim. x → 0. sin 4x. 2x = lim. ... = 2 . 1 = 2 Kesimpulannya: lim. x → 0. sin ax. bx = a. b. Contoh soal 3. Tentukan nilai limit dari . lim. x → 0. tan 3x. sin 6x. Penyelesaian soal / pembahasan. Tan x = sin x. cos x. sehingga bentuk limit diatas ...Explanation: Given -. 2x2 − 6x +1 = 0. 2x2 − 6x = −1. 2x2 2 − 6x 2 = −1 2. x2 −3x = −1 2. x2 −3x + 9 4 = −1 2 + 9 4. (x − 3 2)2 = −2 +9 4 = 7 4. (x − 3 2) = ± √ 7 4.Soal Nomor 13. Persamaan garis yang melalui titik A ( 1, 1) dan tegak lurus dengan garis singgung kurva f ( x) = x 3 − 3 x 2 + 3 di titik tersebut adalah ⋯ ⋅. A. y + 3 x − 4 = 0. B. y + 3 x − 2 = 0. C. 3 y − x + 2 = 0. D. 3 y − x − 2 = 0. E. 3 y − x − 4 = 0.Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.Soal Nomor 13. Persamaan garis yang melalui titik A ( 1, 1) dan tegak lurus dengan garis singgung kurva f ( x) = x 3 − 3 x 2 + 3 di titik tersebut adalah ⋯ ⋅. A. y + 3 x − 4 = 0. B. y + 3 x − 2 = 0. C. 3 y − x + 2 = 0. D. 3 y − x − 2 = 0. E. 3 y − x − 4 = 0.2x 2 6x 1 0
Solve Using the Quadratic Formula 6x^2-x-1=0. 6x2 − x − 1 = 0 6 x 2 - x - 1 = 0. Use the quadratic formula to find the solutions. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Substitute the values a = 6 a = 6, b = −1 b = - 1, and c = −1 c = - 1 into the quadratic formula and solve for x x. 1±√(−1)2 −4 ⋅(6⋅−1) 2⋅6 1 ...Factor 2x^2+x-1. 2x2 + x − 1 2 x 2 + x - 1. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 2⋅−1 = −2 a ⋅ c = 2 ⋅ - 1 = - 2 and whose sum is b = 1 b = 1. Tap for more steps... 2x2 − 1x+2x−1 2 x 2 - 1 x + 2 x - 1. Factor out the greatest common factor ...Solve Using the Quadratic Formula x^2+6x-1=0. x2 + 6x − 1 = 0 x 2 + 6 x - 1 = 0. Use the quadratic formula to find the solutions. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Substitute the values a = 1 a = 1, b = 6 b = 6, and c = −1 c = - 1 into the quadratic formula and solve for x x. −6±√62 −4⋅ (1⋅−1) 2⋅1 - 6 ± 6 2 ... 2x2+6x-20=0 Two solutions were found : x = 2 x = -5 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 + 6x) - 20 = 0 Step 2 : Step 3 :Pulling out like terms : ... 2x2+6x-216 Final result : 2 • (x + 12) • (x - 9) Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 + 6x) - 216 Step 2 : Step 3 :Pulling out ...Two numbers r and s sum up to -3 exactly when the average of the two numbers is \frac{1}{2}*-3 = -\frac{3}{2}. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.Algebra. Solve by Completing the Square 2x^2+6x+3=0. 2x2 + 6x + 3 = 0. Subtract 3 from both sides of the equation. 2x2 + 6x = - 3. Divide each term in 2x2 + 6x = - 3 by 2 and simplify. Tap for more steps... x2 + 3x = - 3 2. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b.Solve Quadratic Equation by Completing The Square. 3.2 Solving 2x2-6x-1 = 0 by Completing The Square . Divide both sides of the equation by 2 to have 1 as the coefficient of the first term : x2-3x- (1/2) = 0. Add 1/2 to both side of the equation : x2-3x = 1/2. Now the clever bit: Take the coefficient of x , which is 3 , divide by two, giving 3/ ...Completing the square is a useful technique for solving quadratic equations. It is a more powerful technique than factorisation because it can be applied to equations that do not factorise. ax2 + bx + c is written in the form (Ax + B)2. x2 + bx + as (x + B)2 +. If we expand (x + B) + we get x2 + 2Bx + B2 + C. 2.x3+6x2-8x-16=0 Three solutions were found : x = 2 x =(-8-√32)/2=-4-2√ 2 = -6.828 x =(-8+√32)/2=-4+2√ 2 = -1.172 Step by step solution : Step 1 :Equation at the end of step 1 : (((x3) + ... x^3+2x^2-5x-6=0Limits. Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Solve Using the Quadratic Formula 6x^2-x-1=0. 6x2 − x − 1 = 0 6 x 2 - x - 1 = 0. Use the quadratic formula to find the solutions. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Substitute the values a = 6 a = 6, b = −1 b = - 1, and c = −1 c = - 1 into the quadratic formula and solve for x x. 1±√(−1)2 −4 ⋅(6⋅−1) 2⋅6 1 ...Example 03: Solve equation $ 2x^2 - 10 = 0 $ This is also a quadratic equation that can be solved without using a quadratic formula.. $$ \begin{aligned} 2x^2 - 18 &= 0 \\ 2x^2 &= 18 \\ x^2 &= 9 \\ \end{aligned} $$ The last equation actually has two solutions. The first one is obvious $$ \color{blue}{x_1 = \sqrt{9} = 3} $$ and the second one isHow do you factor completely x2 − 6x + 8 ? Neh Pandya Apr 29, 2016 For x2 −6x+8 =0 0 = x2−4x−2x+8 0 =x(x−4)−2(x−4) ... x2-6x+1 Final result : x2 - 6x + 1 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2-6x+1 The first term is, x2 its coefficient is 1 .The integral of cos(2x) is 1/2 x sin(2x) + C, where C is equal to a constant. The integral of the function cos(2x) can be determined by using the integration technique known as substitution. In calculus, substitution is derived from the cha...Two numbers r and s sum up to \frac{1}{2} exactly when the average of the two numbers is \frac{1}{2}*\frac{1}{2} = \frac{1}{4}. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.Click here👆to get an answer to your question ️ For what value of a, the roots of the equation 2x^2 + 6x + a = 0 , satisfy the conditions (alphabeta) + (betaalpha) < 2 (where beta,alpha are the roots of equation).Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have2x^{2}-6x+1=0. en. Related Symbolab blog posts. Practice Makes Perfect. Learning math takes practice, lots of practice. Just like running, it takes practice and ... Quadratic Equation in Standard Form: ax 2 + bx + c = 0. Quadratic Equations can be factored. Quadratic Formula: x = −b ± √ (b2 − 4ac) 2a. When the Discriminant ( b2−4ac) is: positive, there are 2 real solutions. zero, there is one real solution. negative, there are 2 complex solutions.Free Complete the Square calculator - complete the square for quadratic functions step-by-stepUse the quadratic formula to solve the equation. 2x2−6x+1=0 Enter your answers, in simplified radical form, in Get the answers you need, now!Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have99. Factor. x^2-x-2. x2−x−2 x 2 - x - 2. 100. Evaluate. 2^2. 22 2 2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.2x2-6x-16=0 Two solutions were found : x = (3-√41)/2=-1.702 x = (3+√41)/2= 4.702 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 6x) - 16 = 0 Step 2 : Step 3 ... 3x2-6x-16=0 Two solutions were found : x = (6-√228)/6=1-1/3√ 57 = -1.517 x = (6+√228)/6=1+1/3√ 57 = 3.517 Step by step solution : Step 1 :Equation at ...Solve Using the Quadratic Formula 6x^2-x-2=0. 6x2 − x − 2 = 0 6 x 2 - x - 2 = 0. Use the quadratic formula to find the solutions. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Substitute the values a = 6 a = 6, b = −1 b = - 1, and c = −2 c = - 2 into the quadratic formula and solve for x x. 1±√(−1)2 −4 ⋅(6⋅−2) 2⋅6 1 ...To factor a binomial, write it as the sum or difference of two squares or as the difference of two cubes. How do you factor a trinomial? To factor a trinomial x^2+bx+c find two numbers u, v that multiply to give c and add to b. Rewrite the trinomial as …2x^{2}+6x+1=0 . 这样的二次方程式可通过转换为完全平方形式来求解。要化为完全平方形式，等式必须先转换为 x^{2}+bx=c 的形式。 ... Functions. A function basically relates an input to an output, there’s an input, a relationship and an output. For every input... Read More. Save to Notebook! Sign in. Free Functions End Behavior calculator - find function end behavior step-by-step.Find the Discriminant 9x^2+6x+1=0. 9x2 + 6x + 1 = 0 9 x 2 + 6 x + 1 = 0. The discriminant of a quadratic is the expression inside the radical of the quadratic formula. b2 − 4(ac) b 2 - 4 ( a c) Substitute in the values of a a, b b, and c c. 62 − 4(9⋅1) 6 2 - 4 ( 9 ⋅ 1) Evaluate the result to find the discriminant.4x2-6x+9 Final result : 4x2 - 6x + 9 Step by step solution : Step 1 :Equation at the end of step 1 : (22x2 - 6x) + 9 Step 2 :Trying to factor by splitting the middle term 2.1 Factoring ... x2-6x+1 Final result : x2 - 6x + 1 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2-6x+1 The first term is, x2 ...Completing the square is a method that represents a quadratic equation as a combination of quadrilateral used to form a square. The basis of this method is to discover a special value that when added to both sides of the quadratic that will create a perfect square trinomial. That special value is found by evaluation the expression (b 2)2 where ...x2-6x-16 Final result : (x + 2) • (x - 8) Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2-6x-16 The first term is, x2 its coefficient is ... 7x2-6x-1=0 Two solutions were found : x = -1/7 = -0.143 x = 1 Step by step solution : Step 1 :Equation at the end of step 1 : (7x2 - 6x) - 1 = 0 Step 2 ...High School Math Solutions - Quadratic Equations Calculator, Part 1. A quadratic equation is a second degree polynomial having the general form ax^2 + bx + c = 0, where a, b, and c... Read More. Save to Notebook! Free quadratic equation calculator - Solve quadratic equations using factoring, complete the square and the quadratic formula step ...Solve by Factoring x^2+6x=0. x2 + 6x = 0 x 2 + 6 x = 0. Factor x x out of x2 +6x x 2 + 6 x. Tap for more steps... x(x+6) = 0 x ( x + 6) = 0. If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. x = 0 x = 0. x+6 = 0 x + 6 = 0. Set x x equal to 0 0.Rearrange into the form: (x−4)2 +(y−3)2 = 22 to identify the centre (4,3) and radius 2 ... Find the equations of the circles that have centre (0,0) and touch the circle x2 + y2 − 8x − 6y + 24 = 0. This does not need calculus, just a theorem from euclidean geometry. The given circle has centre (4,3) and radius 1 unit. 3.2 Solving 2x 2-12x-1 = 0 by Completing The Square . Divide both sides of the equation by 2 to have 1 as the coefficient of the first term : x 2-6x-(1/2) = 0 Add 1/2 to both side of the equation : x 2-6x = 1/2 Now the clever bit: Take the coefficient of x , which is 6 , divide by two, giving 3 , and finally square it giving 9Step 2 : Trying to factor by splitting the middle term. 2.1 Factoring 4x2-6x-1. The first term is, 4x2 its coefficient is 4 . The middle term is, -6x its coefficient is -6 . The last term, "the constant", is -1. Step-1 : Multiply the coefficient of the first term by the constant 4 • -1 = -4. Step-2 : Find two factors of -4 whose sum equals ...Solve the equation for x x. Tap for more steps... x = ± √7 2 + 3 2 x = ± 7 2 + 3 2 The result can be shown in multiple forms. Exact Form: x = ± √7 2 + 3 2 x = ± 7 2 + 3 2 Decimal …2x^{2}-6x+1=0. en. Related Symbolab blog posts. Practice Makes Perfect. Learning math takes practice, lots of practice. Just like running, it takes practice and ...Jun 14, 2015 · Solve this equation by completing the square. x=sqrt10-3 x=-sqrt10-3 Solve x^2+6x-1=0 We are going to create a perfect square trinomial on the left side of the equation. A perfect square trinomial has the form a^2+2ab+b^2=(a+b)^2. Then we can factor the perfect square trinomial and solve for x. Add the constant term (1) to both sides of the equation. x^2+6x=1 Divide the coefficient of the x ... 9x2+6x+1=0 One solution was found : x = -1/3 = -0.333 Step by step solution : Step 1 :Equation at the end of step 1 : (32x2 + 6x) + 1 = 0 Step 2 :Trying to factor by ... x2+6x+10=0 Two solutions were found : x = (-6-√-4)/2=-3-i= -3.0000-1.0000i x = (-6+√-4)/2=-3+i= -3.0000+1.0000i Step by step solution : Step 1 :Trying to factor by ... Functions. A function basically relates an input to an output, there’s an input, a relationship and an output. For every input... Read More. Save to Notebook! Sign in. Send us Feedback. Free x intercepts calculator - find function's x-axis intercepts step-by-step. 99. Factor. x^2-x-2. x2−x−2 x 2 - x - 2. 100. Evaluate. 2^2. 22 2 2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Solution Step 1 Put the equation in standard form. We must subtract 6 from both sides. Step 2 Factor completely. Recall how to factor trinomials. Step 3 Set each factor equal to zero and solve for x. Since we have (x - 6) (x + 1) = 0, we know that x - 6 = 0 or x + 1 = 0, in which case x = 6 or x = - 1. Solve by Factoring 6x^2-2x=0. 6x2 − 2x = 0 6 x 2 - 2 x = 0. Factor 2x 2 x out of 6x2 −2x 6 x 2 - 2 x. Tap for more steps... 2x(3x−1) = 0 2 x ( 3 x - 1) = 0. If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. x = 0 x = 0. 3x−1 = 0 3 x - 1 = 0. Set x x equal to 0 0. Marriott and Amex have announced a new promotion to give Marriott Bonvoy Brilliant cardholders triple the points on select travel purchases. We may be compensated when you click on product links, such as credit cards, from one or more of ou...Two numbers r and s sum up to -3 exactly when the average of the two numbers is \frac{1}{2}*-3 = -\frac{3}{2}. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.Solve Using the Quadratic Formula 2x^2-2x-1=0. 2x2 − 2x − 1 = 0 2 x 2 - 2 x - 1 = 0. Use the quadratic formula to find the solutions. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Substitute the values a = 2 a = 2, b = −2 b = - 2, and c = −1 c = - 1 into the quadratic formula and solve for x x. 2±√(−2)2 −4 ⋅(2⋅−1) 2⋅ ...Compute limit at: x = inf = ∞ pi = π e = e. Choose what to compute: The two-sided limit (default) The left hand limit. The right hand limit. Compute Limit.Solve by Factoring 6x^2-2x=0. 6x2 − 2x = 0 6 x 2 - 2 x = 0. Factor 2x 2 x out of 6x2 −2x 6 x 2 - 2 x. Tap for more steps... 2x(3x−1) = 0 2 x ( 3 x - 1) = 0. If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. x = 0 x = 0. 3x−1 = 0 3 x - 1 = 0. Set x x equal to 0 0. Factor 2x^2+x-1. 2x2 + x − 1 2 x 2 + x - 1. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 2⋅−1 = −2 a ⋅ c = 2 ⋅ - 1 = - 2 and whose sum is b = 1 b = 1. Tap for more steps... 2x2 − 1x+2x−1 2 x 2 - 1 x + 2 x - 1. Factor out the greatest common factor ...Example 9.2.3. Solve by completing the square: x2 + 14x + 46 = 0. Solution: Step 1: Add or subtract the constant term to obtain the equation in the form x2 + bx = c. In this example, subtract 46 to move it to the right side of the equation. Step 2: Use (b 2)2 to determine the value that completes the square. Here b = 14:Compute limit at: x = inf = ∞ pi = π e = e. Choose what to compute: The two-sided limit (default) The left hand limit. The right hand limit. Compute Limit.Solving exponential equations is pretty straightforward; there are basically two techniques: <ul> If the exponents... Read More Save to Notebook! Sign in Free equations calculator - solve linear, quadratic, polynomial, radical, exponential and logarithmic equations with all the steps. Type in any equation to get the solution, steps and graphSteps Using the Quadratic Formula Steps for Completing the Square Steps Using Direct Factoring Method View solution steps Graph Graph Both Sides in 2D Graph in 2D Quiz Quadratic Equation x2+6x+1 = 0 Videos Evaluar expresiones con dos variables: fracciones y decimales Khan Academy Separar problemas de suma de números de 2 dígitos Khan Academy4x2-6x+9 Final result : 4x2 - 6x + 9 Step by step solution : Step 1 :Equation at the end of step 1 : (22x2 - 6x) + 9 Step 2 :Trying to factor by splitting the middle term 2.1 Factoring ... x2-6x+1 Final result : x2 - 6x + 1 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2-6x+1 The first term is, x2 ...The quadratic equation is 2 x 2 − 2 2 x + 1 = 0. Comparing it with standard form of quadratic equation a x 2 + b x + c = 0 ,we get a = 2 , b = − 2 2 , c = 1 Therefore the roots of the quadratic equation are, Solving 6x 2-x-1 = 0 directly . Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula. Parabola, Finding the Vertex : 4.1 Find the Vertex of y = 6x 2-x-1 Parabolas have a highest or a lowest point called the Vertex .Two numbers r and s sum up to -6 exactly when the average of the two numbers is \frac{1}{2}*-6 = -3. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.For this quadratic, Delta = 0, which means that the equation has one real root (a repeated root). The general form of a quadratic equation looks like this ax^2 + bx + c = 0 The discriminant of a quadratic equation is defined as Delta = b^2 - 4 * a * c In your case, the equation looks like this 9x^2 - 6x + 1 = 0, which means that you have {(a=9), (b=-6), …4.3 Solving x2-3x-1 = 0 by Completing The Square . Add 1 to both side of the equation : x2-3x = 1. Now the clever bit: Take the coefficient of x , which is 3 , divide by two, giving 3/2 , and finally square it giving 9/4. Add 9/4 to both sides of the equation : On the right hand side we have : 1 + 9/4 or, (1/1)+ (9/4). Is connor and ironmouse dating