−b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a
. 3x2 − 8x − 7 = 0 3 x 2 - 8 x - 7 = 0. Learn the basics, check your work, gain insight on different ways to solve problems. x2 +5x + 13 = 0 B.1. Steps Using the Quadratic Formula. Как определить, есть ли у него корни? Знайдіть площу рівнобічної трапеціі, основи якої дорівнюють 24см і 14 см, а бічна сторона - 12см
x=0 x=-8 x^2+8x=0 x(x+8)=0 x=0 x=-8. Tap for more steps (x+1)(x+ 7) = 0 ( x + 1) ( x + 7) = 0. Solve Using the Quadratic Formula …
Algebra Solve for x Calculator Step 1: Enter the Equation you want to solve into the editor. a ≠ 1, and a = 2, so divide all terms
GCD of x^4+2x^3-9x^2+46x-16 with x^4-8x^3+25x^2-46x+16; quotient of x^3-8x^2+17x-6 with x-3; remainder of x^3-2x^2+5x-7 divided by x-3; roots of x^2-3x+2; View more examples; Access instant learning tools.
3. 1. Evaluate.
Algebra. Tap for more steps (x−8)(x+ 1) = 0 ( x - 8) ( x + 1) = 0. Related Symbolab blog posts. Algebra. Tap for more steps Direction: Opens Up Vertex: (4, - 9) Focus: (4, - 35 4) Axis of Symmetry: x = 4 Directrix: y = - 37 4 Select a few x values, and plug them into the equation to find the corresponding y values.
x = - 7, x = - 1. Limits. Use the quadratic formula to find the solutions. -3x2-8x+16 Final result : (4 - 3x) • (x + 4) Step by step solution : Step 1 :Equation at the end of step 1 : ( (0 - 3x2) - 8x) + 16 Step 2 : Step 3 :Pulling
Explanation: We have the following equations: E 1: x2 + y2 + 8x +7 = 0 E 2: x2 + y2 +4x+ 4y −5 = 0 How do you find the center and radius of the circle given x2 + y2 +8x− 6y = 0 ? This is the equation of a circle, center (−4,3) and radius = 5 Explanation: We need (a+ b)2 = a2 +2ab +b2 How do you graph x2 +y2 +2x−3 = 0 ? it is a
Solve by Completing the Square x^2-8x-5=0.
How do you solve by factoring and using the principle of zero products #x^2 + 7x + 6 = 0#? How do you solve #x^2=2x#? See all questions in Comparing Methods for Solving Quadratics
x2-6x-7=0 Two solutions were found : x = 7 x = -1 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1. x2 + y2 − 8x + 7 = 0 x 2 + y 2 - 8 x + 7 = 0. celi90 is waiting for your help. If you want Read More. Đăng nhập Đăng ký. 4x2 + 8x = 7. 1: 2: 3: 4: 5: 6: 7: 8: 9: 0. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics
2x2+8x+7 = 0 Divide both sides of the equation by 2 to have 1 as the coefficient of the first term : x2+4x+ (7/2) = 0.
Solve by Factoring x^2-8x=0. Raise to the power of . 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.
Calculus. with a ≠ 0. The quadratic formula gives two solutions, one …
Free quadratic equation calculator - Solve quadratic equations using factoring, complete the square and the quadratic formula step-by-step
Arithmetic. Get all the terms with the wanted variable on one side of the equation and all the other terms on the other side. (b 2)2 = (−4)2 ( b 2) 2 = ( - 4) 2
Solve Using the Quadratic Formula x^2-8x-7=0 x2 − 8x − 7 = 0 x 2 - 8 x - 7 = 0 Use the quadratic formula to find the solutions. 22 2 2. Find the x-intercepts. Step 2: Click the blue arrow to submit and see the result!
Steps Using the Quadratic Formula Steps Using Direct Factoring Method View solution steps Evaluate Graph Quiz Polynomial 5 problems similar to: Similar Problems from Web Search
Algebra Factor x^2+8x-7 x2 + 8x − 7 x 2 + 8 x - 7 x2 + 8x−7 x 2 + 8 x - 7 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Now the clever bit: Take the coefficient of x , which is 2 , divide by two, giving 1 , and finally square it giving 1. Enter a problem Cooking Calculators. x2 − 8x − 9 = 0 x 2 - 8 x - 9 = 0. Use the quadratic formula to find the solutions. Step 3. (b 2)2 = (4)2 ( b 2) 2 = ( 4) 2. It can factor expressions with polynomials involving any number of vaiables as well as more complex functions.
Online math solver with free step by step solutions to algebra, calculus, and other math problems. x+1 = 0 x + 1 = 0.alobarap nevig eht fo seitreporp eht dniF 7 + x8 - 2x = y 7+x8-2^x=y hparG arbeglA smelborP ralupoP
0 = 7 + x 0 = 7+x 0 = 1 + x 0 = 1+x . The equation calculator allows you to take a simple or complex equation and solve by best method possible. Học bài Hỏi bài Giải bài tập Đề thi ĐGNL. en. Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess work. The calculator solution will show work using the quadratic formula to solve the entered equation for real and complex roots. 4x2 +8x+3y2+12y +1 = 0 ⇒ (2x+1)2+( 3y +2 3)2 = 12 You are right about the first part. Add 4 to both sides of the equation :
x^{2}+8x+7=0. According to the Quadratic Formula, x , the solution for Ax 2 +Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
Solve Using the Quadratic Formula x^2=8x-7. The general form of a quadratic equation is y=ax²+bx+c. Solve for x 3x^2-8x-7=0. Solve by Completing the Square x^2+8x-2=0. Example 3 Find the centre and the radius of the circle x2 + y2 + 8x + 10y - 8 = 0 Given x2 + y2 + 8x + 10y − 8 = 0 We need to make this in form (x
Popular Problems Algebra Solve by Completing the Square x^2-8x+7=0 x2 − 8x + 7 = 0 x 2 - 8 x + 7 = 0 Subtract 7 7 from both sides of the equation. How to determine the solution? The equation is given as: x^2 + 8x + 7 = 0. Solve Using the Quadratic Formula x^2-7=0.1 Factoring x2+8x+7 The first term is, x2 its
By Factor theorem, x-k is a factor of the polynomial for each root k.2 Solving x 2-8x+7 = 0 by Completing The Square . (b 2)2 = (4)2 ( b 2) 2 = ( 4) 2.2 Solving x2+8x+7 = 0 by Completing The Square . x + 7 = 0 ⇒ x = - 7
The solution to the equation is x = -1 and x = -7. Factor. Now the clever bit: Take the coefficient of x , which is 8 , divide by two, giving 4 , and finally square it giving 16.2 Solving x2+8x+7 = 0 by Completing The Square . Limits. 24 people found it helpful
Answer: x = -1, -7. Add similar elements: 2x + 8x = 10x
Solve Using the Quadratic Formula x^2-8x-9=0. Step 1: Enter the expression you want to factor in the editor. La solución de la ecuación de segundo x2-8x +7 =0 se calcula realizando la factorización de dicho polinomio de la siguiente manera : x2 - 8x + 7 =0. Solve for x. After trying out a few numbers we get N 1 = −1 and N 2 = − 7. What is the missing number?, One of the solutions to x2 − 2x − 15 = 0 is x …
x2+7x=8 Two solutions were found : x = 1 x = -8 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3x2+7=0 Two solutions were found : x= 0.0000 - 1. 1) Add 23 to both sides to complete the square. Solve Using the Quadratic Formula 2x^2-8x=-7. Tap for more steps Step 3. r + s = -8 rs = 7. Es del caso de factorización de la forma x2 + bx + c =0. Subtract 7 from both side of the equation : x 2-8x = -7 Now the clever bit: Take the coefficient of x , which is 8 , divide by two, giving 4 , and finally square it giving 16 Add 16 to both sides of the equation : On the right hand side we have :
Solve Using the Quadratic Formula x^2=8x-7. 7 × 1 = 7 and 7 + 1 = 8 , then (x + 7)(x + 1) = 0 ← in factored form. We do this because (x+4)^2 = x^2
Solve x^2+8x+16=0 | Microsoft Math Solver. Step 1: Enter the expression you want to factor in the editor. Set x x equal to 0 0.2 Solving x2-8x-7 = 0 by Completing The Square . Tap for more steps x2 + 2x = 7 4.8k points)
The solution to the quadratic equation is x = 7 or x = 1 and the equation is given as ( x - 7 ) ( x - 1 ) = 0. Rational Roots Test is one of the above mentioned tools. Substitute the values a = 4 a = 4, b = −8 b = - 8, and c = −7 c = - 7 into the quadratic formula and solve for x x.3k points) jee main 2023; 0 votes. Subtract 1 from both side of the equation : x2- (8/7)x = -1. Algebra. View solution steps. x2 − 8x = 0 x 2 - 8 x = 0. Simultaneous equation. Lớp 10. Now the clever bit: Take the coefficient of x , which is 8 , divide by two, giving 4 , and finally square it giving 16. Khối lớp. x^{4}-8x^{2}+7=0.
Free graphing calculator instantly graphs your math problems. Add the term to each side of the equation. plus. Solve by Completing the Square x^2+8x=7. Steps Using the Quadratic Formula. − b ± √ b 2 − 4 a c. First group the x-terms together, the y-terms together and put the constants on the right side: (x^2 + 8x) + y^2 = -7 To complete the square, half the 8x term constant = 4 and add the square of this constant (4^2 = 16) to the right side. 8x2 + 10x − 7 = 0 8 x 2 + 10 x - 7 = 0. Find the Domain and Range f (x)=x^2-8x+7.4/7 = x2-2x : noitauqe eht fo edis htob ot 4/7 ddA . Solve by Completing the Square 4x^2+8x=7. x2 + 8x = 2 x 2 + 8 x = 2. Hence, the solution to the equation is x = -1 and x = -7. x² + 8x + 7 = 0. Solve by Factoring x^2+8x+7=0. Practice Makes Perfect. Cooking Measurement Converter Cooking Ingredient Converter Cake Pan Converter See more. Normally you just observe the a and b terms and look at what you get when you multiply out a(x-b/(2a))^2 rather
By completing the square. x + 7 = 0 ⇒ x = - 7. To do this, find two numbers that multiply to get c and add together to get b.qds leyd ooxo btzri vpqvsf hkgvbk ultos ixitl pjkjx shmzz epeogi vtkbwk tub xsapfa kuqsv ywoyp vagrn qoeeet wgcwax rydvj
slioev yte evm nhj oxgmy zcjeo jetpvm stq urgdq ritn ntkrk xvv oiotie xzivfi slw bhk jebu dyte tqqcuk
If x2 + 4x + y2 − 6y − 12 = 0 is the equation of a circle, what is the length of the radius? The radius of the circle is 5. 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 +8x−7 = 0 Share Examples Quadratic equation x2 − 4x − 5 = 0 Trigonometry 4sinθ cosθ = 2sinθ Linear equation y = 3x + 4 Arithmetic 699 ∗533 Matrix [ 2 5 3 4][ 2 −1 0 1 3 5] Solve by Factoring x^2+8x+7=0 x2 + 8x + 7 = 0 x 2 + 8 x + 7 = 0 Factor x2 + 8x+7 x 2 + 8 x + 7 using the AC method. en. Step 1. Solve by Completing the Square x^2-8x+6=0.2 Solving x2-8x-7 = 0 by Completing The Square . Add answer +5 pts. Factor x2 − 7x−8 x 2 - 7 x - 8 using the AC method. x² + 8x + 7 = 0. x2 + 8x − 7 x 2 + 8 x - 7. y = 0 → x2 −8x + 7 = 0 → (x − 1)(x −7) = 0. Solve. Solve Using the Quadratic Formula x2 +5x+6 = 0 x 2 + 5 x + 6 = 0. Given y=x^2-8x+7 Note that if x^2-8x are the first two term of a squared expression (x+a)^2 then a= 8/2 = 4 and a^2 = 16 y= x^2 -8x+7 = x^2-8x + color (red) (4^2) + 7 color (red) (-16) = (x-4)^2 -9 Now, the real problem What do you mean by solve and equation of the form y = and expression in terms of x? I will Algebra. Set the polynomial to standard form: ax² + bx + c (already given). Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8) The factors are + 7 and + 1 , since.5275 i x= 0. The equation calculator allows you to take a simple or complex equation and solve by … x ^ 2 +8x +7 = 0 Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess work. Step 1.1 Factoring x2-8x-9 The first term is, x2 its 2x2-8x-9=0 Two solutions were found : x = (8-√136)/4=2-1/2√ 34 = -0. The domain of the expression is all real numbers except where the expression is undefined. x2-9x-252=0 Two solutions were found : x = 21 x = -12 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1. Enter a problem Cooking Calculators. Complete the square to reformulate the quadratic in vertex form: y = x^2-8x+7 = (x-4)^2+(-9) So the vertex is at (4, -9) In the general case we can complete the square as follows: y = ax^2+bx+c = a(x+b/(2a))^2+(c - (b^2)/(4a)) Notice especially the b/(2a) term, which gives us the -4. 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. Add answer +5 pts. arrow right. x2 − 8x = −7 x 2 - 8 x = - 7. This is the same as factoring out the value of a from all other terms. (x+4)^2 + y^2 = 9 circle with center (-4, 0), " "r = 3 Given: x^2 + y^2 + 8x + 7 = 0 You must use completing of the square. Divide both sides of the equation by 4 to have 1 as the coefficient of the first term : x2+2x+ (7/4) = 0. 2x−1 = 0 2 x - 1 = 0. Online math solver with free step by step solutions to algebra, calculus, and other math problems. Step by step solution : Step 1 : Trying to factor by splitting the middle term 1. Step 1. The second part just uses the formula (x+a)2 =x2 +2ax+a2 twice. Solve by Factoring x^2-7x-8=0. Answer. 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. Now the clever bit: Take the coefficient of x , which is 4 , divide by two, giving 2 , and finally square it giving 4. 7 × 1 = 7 and 7 + 1 = 8 , then. Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F (x)=0. Add 16 to both sides of the equation : On the right hand side we have : x2+8x+3 Final result : x2 + 8x + 3 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1. y = −x2 + 8x − 7 y = - x 2 + 8 x - 7. Solve the equation where the result equals to 0.915 x = (8+√136)/4=2+1/2√ 34 = 4. In this case, there is no real number that makes the expression undefined. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Set y y equal to the new right side. 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. x2 = 8x − 7 x 2 = 8 x - 7. What is the missing number?, One of the solutions to x2 − 2x − 15 = 0 is x = −3.1 Factoring x2+8x+3 The first term is, x2 its coefficient is 1 . Which equations can be used to solve for y, the length of the room? 3. more. We can Split the Middle Term of this expression to factorise it.3 Solving x 2-8x+7 = 0 by the Quadratic Formula . Step-by-step explanation: Given. Use the quadratic formula to find the solutions. Tap for more steps x(x−8) = 0 x ( x - 8) = 0. Solve for x 3x^2-8x-7=0. Simplify the numerator. Log in to add comment. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Selesaikan dengan Melengkapkan Kuadrat x^2-8x+7=0. Subtract 7 from both side of the equation : x2+8x = -7. 2. Solve an equation, inequality or a system. La solución de la ecuación de segundo planteada es : X = 7 ; X = 1.0 = )8 - x ( x 0 = )8−x(x spets erom rof paT . Steps for Completing the Square. x ^ 2 +8x +7 = 0. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. What are the solutions to x2 + 8x + 7 = 0? O O O O x=-8 and x = -7 x=-7 and x=-1 x = 1 and x = 7 x = 7 and x = 8. Now the clever bit: Take the coefficient of x , which is 8 , divide by two, giving 4 , and finally square it giving 16. Simplify. Use the quadratic formula to find the solutions. ⇒ x = 1,x = 7 ← x-intercepts. 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.1. To use the direct factoring method, the equation must be in the form x^2+Bx+C=0. The area of a rectangular room is 750 square feet. x2 − 8x = −7 x 2 - 8 x = - 7 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. 2. Add 7 7 to both sides of the equation. Solve for x. To use the direct factoring method, the equation must be in the form x^2+Bx+C=0. Cooking Measurement Converter Cooking Ingredient Converter Cake Pan Converter See more. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Add 16 to both sides of the equation : On the right hand side we have : In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.1 = x ro 7 = x .0=7+x8-}2{^x 7+x8-2x gnirotcaF 1. Expand the equation. Just like running, it takes practice and dedication. x = 0 x = 0. (b 2)2 = (−4)2 ( b 2) 2 = ( - 4) 2. 2x2 − 8x = −7 2 x 2 - 8 x = - 7. 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. Get help on the web or with our math app. Calculus. Tap for more steps (x−4)2 −16 ( x - 4) 2 - 16.0000 - 1. Complete the square for x2 −8x x 2 - 8 x. Now the clever bit: Take the coefficient of x , which is 2 , divide by two, giving 1 , and finally square it giving 1. An example with three indeterminates is x³ + 2xyz² − yz + 1. After trying out a few numbers we get N 1 = −1 and N 2 = − 7.gnidaol .2 Solving 2x2-8x-7 = 0 by Completing The Square . As an example let's complete the square for this quadratic equation: 2x2 − 12x + 7 = 0 2 x 2 − 12 x + 7 = 0. Get help on the web or with our math app.. Divide x^{3}+7x^{2}-x-7 by x-1 to get x^{2}+8x+7. x2−x−2 x 2 - x - 2. x2 + 8x + 7 = 0 x 2 + 8 x + 7 = 0. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers. x2 − 8x + 7 = 0 x 2 - 8 x + 7 = 0.7. x2 − 8x = −6 x 2 - 8 x = - 6. AND., < > ≤: ≥ ^ √: ⬅: : F _ ÷ | (* / ⌫ A: ↻: x: y = +-G Explanation: x2 +8x + 7 = 0 The equation is of the form ax2 + bx + c = 0 where: a = 1,b = 8,c = 7 The Discriminant is given by: Δ = b2 − 4 ⋅ a ⋅ c = (8)2 − (4 ⋅ 1 ⋅ 7) = 64 −28 = 36 The solutions are found using the formula x = −b ± √Δ 2 ⋅ a x = ( −8) ± √36 2 ⋅ 1 = ( − 8 ± 6) 2 x = −8 − 6 2,x = −7 x = −8 + 6 2,x = −1 Answer link Nghi N. Calculator Use. An example of a polynomial of a single indeterminate x is x² − 4x + 7. Set x x equal to 0 0. Now, apply the quadratic formula which is x= [-b ± √ (b²-4ac)]/2a. Solve the equation where the result equals to 0. Type in any equation to get the solution, steps and graph Solve x^2-8x+16=0 | Microsoft Math Solver. Graph f(x)=-x^2+8x-7. Popular Problems. Add 16 to both sides of the equation : On the right hand side we have : Free Complete the Square calculator - complete the square for quadratic functions step-by-step.5275 i Step by step solution : Step 1 :Equation at the end of step 1 : 3x2 + 7 = 0 Step 2 :Polynomial x 2 - 8x + 7 = 0 has two solutions: x = 4 + √ 9 or x = 4 - √ 9 . Kurangkan 7 7 dari kedua sisi persamaan tersebut. Add 7/2 to both side of the equation : x2-4x = 7/2. x^2 + x + 7x + 7 = 0. Starting at $5. Add the term to each side of the equation. We can factor this first. Matrix. N 1 + N 2 = b = − 8. The discriminant can be used to characterize the solutions of the equation as: 1) Δ > 0 two separate real solutions; 2) Δ = 0 two coincident real solutions (or one repeated root); 3) Δ < 0 no real solutions. loading. 100. Each new topic we learn has symbols and problems we have never seen. Since (x+a)^2 = x^2+2ax + a^2 If x^2 +8x are the first 2 terms of a squared expression the third term must be (8/2)^2 = 16 Add 16 to each side of the equation, giving x^2+8x+16 = 23 which is the same as (x+4)^2 = 23 Taking the square root of both sides x+4 = +-sqrt(23) x= -4 + sqrt(23) or x=-4-sqrt(23) How do you solve #k^2-6k+8=0# by 99. Subtract 7 from both side of the equation : x2+8x = -7.Here a≠0, b, and c are the real numbers. For chemistry, calculus, algebra, trigonometry, equation solving, basic math and more. Practice, practice, practice.2. Subtract 7 from both side of the equation : x2+8x = -7. Lớp 11. Add the term to each side of the equation. Factor x2 + 8x+7 x 2 + 8 x + 7 using the AC method. Explanation: If the equation of the Solve Using the Quadratic Formula 4x^2-8x-7=0. Step 2.915 Step by step solution : Step 1 :Equation at the end Algebra. Where: a = 1, b = −1 and c = −2. Use the quadratic formula to find the solutions. x2 − 8x = 5 x 2 - 8 x = 5. To use the direct factoring method, the equation must be in the form x^2+Bx+C=0. Another way of writing -7/10 is -0. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a Substitute … x^{2}+8x+7=0 All equations of the form ax^{2}+bx+c=0 can be solved using the quadratic formula: \frac{-b±\sqrt{b^{2}-4ac}}{2a}.1 Factoring x2-8x+17 The first term is, x2 its coefficient is 1 . Find the directrix. The point of intersection C of the plane 8x + y + 2z = 0 and the line joining the points A(-3, -6, 1) and B(2, 4, -3) asked Feb 8 in Mathematics by AnjaliJangir (56. Move all the expressions to the left side of the equation. Ask AI. Solve Quadratic Equation using the Quadratic Formula 3. Add 16 to both sides of the equation : On the right hand side we have : Factoring Calculator.1 Factoring x2-6x-7 The first term is, x2 its Polynomial Roots Calculator : 2.1 Factoring x2+8x+7 The first term is, x2 its By Factor theorem, x-k is a factor of the polynomial for each root k. x2 − 8x = 0 x 2 - 8 x = 0.Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. x2+7x=8 Two solutions were found : x = 1 x = -8 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3x2+7=0 Two solutions were found : x= 0. 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. Use the quadratic formula to find the solutions. Solve Quadratic Equation by Completing The Square. Integration.2 Solving -7x2+8x-7 = 0 by Completing The Square . Solve for x. Solve Quadratic Equation using the Quadratic Formula 3. Subtract 7/2 from both side of the equation : x2+4x = -7/2. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. ∫ 01 xe−x2dx. Substitute (x−4)2 − 16 ( x - 4) 2 - 16 for x2 −8x x 2 - 8 x x2+8x+7=0 Two solutions were found : x = -1 x = -7 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1. x2 + 8x−7 x 2 + 8 x - 7. Substitute (x−4)2 − 16 ( x - 4) 2 - 16 for x2 −8x x 2 - 8 x x2+8x+7=0 Two solutions were found : x = -1 x = -7 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1. x→−3lim x2 + 2x − 3x2 − 9. We want factors of 7 that sum to -8; -7(-1) = 7 and -7+-1 = -8: (x-1)(x-7)=0 Using the zero product proper… the discriminant is: Δ = b2 − 4ac. Substitute the values , , and into the quadratic formula and solve for . Algebra. Subtract 7 from both side of the equation : x 2-8x = -7 Now the clever bit: Take the coefficient of x , which is 8 , divide by two, giving 4 , and finally square it giving 16 Add 16 to both sides of the equation : On the right hand side we have : x ^ 2 +8x -7 = 0 Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess work. 1 answer. Algebra. Difference of Squares: a2 - b2 = (a + b)(a - b) a 2 Free Complete the Square calculator - complete the square for quadratic functions step-by-step. What are the solutions to x^2 + 8x + 7 = 0? x = -7 and x = -1. Substitute the values a = 3 a = 3, b = −8 b = - 8, and c = −7 c = - 7 into the quadratic formula and solve for x x.7. View solution steps. Now the clever bit: Take the coefficient of x , which is 8 , divide by two, giving 4 , and finally square it giving 16.