x^2-5x-91=0

Simple and best practice solution for x^2-5x-91=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^2-5x-91=0 equation:


Simplifying
x2 + -5x + -91 = 0

Reorder the terms:
-91 + -5x + x2 = 0

Solving
-91 + -5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '91' to each side of the equation.
-91 + -5x + 91 + x2 = 0 + 91

Reorder the terms:
-91 + 91 + -5x + x2 = 0 + 91

Combine like terms: -91 + 91 = 0
0 + -5x + x2 = 0 + 91
-5x + x2 = 0 + 91

Combine like terms: 0 + 91 = 91
-5x + x2 = 91

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = 91 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 91 + 6.25

Combine like terms: 91 + 6.25 = 97.25
6.25 + -5x + x2 = 97.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 97.25

Calculate the square root of the right side: 9.861541462

Break this problem into two subproblems by setting 
(x + -2.5) equal to 9.861541462 and -9.861541462.

Subproblem 1

x + -2.5 = 9.861541462 Simplifying x + -2.5 = 9.861541462 Reorder the terms: -2.5 + x = 9.861541462 Solving -2.5 + x = 9.861541462 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 9.861541462 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 9.861541462 + 2.5 x = 9.861541462 + 2.5 Combine like terms: 9.861541462 + 2.5 = 12.361541462 x = 12.361541462 Simplifying x = 12.361541462

Subproblem 2

x + -2.5 = -9.861541462 Simplifying x + -2.5 = -9.861541462 Reorder the terms: -2.5 + x = -9.861541462 Solving -2.5 + x = -9.861541462 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = -9.861541462 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = -9.861541462 + 2.5 x = -9.861541462 + 2.5 Combine like terms: -9.861541462 + 2.5 = -7.361541462 x = -7.361541462 Simplifying x = -7.361541462

Solution

The solution to the problem is based on the solutions from the subproblems. x = {12.361541462, -7.361541462}

See similar equations:

| 6a-5a=1 | | 3x+2-1=2x+3-7 | | 5(3x-1)+7=-1x+30 | | x/3+x/2=5 | | 3x+2y=6 6y+4x^2=3 | | 2/3X-9=17 | | 12x+48=7x-47 | | 3+6=4+2 | | (25a+9d)-(10a-5d)= | | 5x-5=35-5x | | 3r+6=r+2 | | -1.5+0.7x+0.1=0.3-0.8x | | X*4+109=x*10-5 | | 8x-5+3x+4=32 | | 6p+3=2p+5 | | 3y+4=6y(4y+6) | | 7z-17-z+5=0 | | 4y+6=5x+3 | | -111-7x=132-28x | | x+940=0 | | 0.5(a+3)=12 | | 7x+7=9x-3 | | 6x-3=x+22 | | p/5-8=-6 | | 4(3x-1)=32 | | 3(2x-1)+x=5x-1 | | 3(2x-1)+x=5x | | 4x=7x+14 | | 3/4(m-12)+9(m-12)=39 | | 5(-3)-1=2y | | 5x+4=x+24 | | 2-15x=-6x+8 |

Equations solver categories