x^2-8x-13=0

Simple and best practice solution for x^2-8x-13=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x^2-8x-13=0 equation:


Simplifying
x2 + -8x + -13 = 0

Reorder the terms:
-13 + -8x + x2 = 0

Solving
-13 + -8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '13' to each side of the equation.
-13 + -8x + 13 + x2 = 0 + 13

Reorder the terms:
-13 + 13 + -8x + x2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -8x + x2 = 0 + 13
-8x + x2 = 0 + 13

Combine like terms: 0 + 13 = 13
-8x + x2 = 13

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = 13 + 16

Reorder the terms:
16 + -8x + x2 = 13 + 16

Combine like terms: 13 + 16 = 29
16 + -8x + x2 = 29

Factor a perfect square on the left side:
(x + -4)(x + -4) = 29

Calculate the square root of the right side: 5.385164807

Break this problem into two subproblems by setting 
(x + -4) equal to 5.385164807 and -5.385164807.

Subproblem 1

x + -4 = 5.385164807 Simplifying x + -4 = 5.385164807 Reorder the terms: -4 + x = 5.385164807 Solving -4 + x = 5.385164807 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 5.385164807 + 4 Combine like terms: -4 + 4 = 0 0 + x = 5.385164807 + 4 x = 5.385164807 + 4 Combine like terms: 5.385164807 + 4 = 9.385164807 x = 9.385164807 Simplifying x = 9.385164807

Subproblem 2

x + -4 = -5.385164807 Simplifying x + -4 = -5.385164807 Reorder the terms: -4 + x = -5.385164807 Solving -4 + x = -5.385164807 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = -5.385164807 + 4 Combine like terms: -4 + 4 = 0 0 + x = -5.385164807 + 4 x = -5.385164807 + 4 Combine like terms: -5.385164807 + 4 = -1.385164807 x = -1.385164807 Simplifying x = -1.385164807

Solution

The solution to the problem is based on the solutions from the subproblems. x = {9.385164807, -1.385164807}

See similar equations:

| 3v+1=5v-9 | | 0.05(9x+2)=0.45(x+7)-3.05 | | 2x+5=6x-3 | | 0.7*z=21 | | 4x^2+3x=0 | | 7x+11=4x+23 | | 11a+4a= | | (n+6)=6n+36 | | x(n+6)=6n+36 | | 6(5d-9)= | | 4x^3-8x^3-5x=0 | | 3(9c+1)= | | 8x^3-4x^2-2x+1=0 | | 3(6+7y)+2(1-5y)=42 | | y=-x^3+16x^2+7x | | 2v-6=10 | | 9x-100=5x+8 | | 3x-8=20-x | | 2x+543=43 | | 34x=35 | | (2+4)*5+19-18+7+5*(7+1*3)+8= | | 63-7x=29x+15 | | 3x+42=2(x-4) | | 7-10x=43-38x | | 4x+12=-72-10x | | 11-3e=2e-19 | | 6x+23=16x-87 | | 58-2x=7x+18 | | 5-9x=155-44x | | 6x+30=13x-33 | | 5x+11=-124-10x | | 158-6x=4x+18 |

Equations solver categories