(x-9)(x-9)=8

Simple and best practice solution for (x-9)(x-9)=8 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-9)(x-9)=8 equation:


Simplifying
(x + -9)(x + -9) = 8

Reorder the terms:
(-9 + x)(x + -9) = 8

Reorder the terms:
(-9 + x)(-9 + x) = 8

Multiply (-9 + x) * (-9 + x)
(-9(-9 + x) + x(-9 + x)) = 8
((-9 * -9 + x * -9) + x(-9 + x)) = 8
((81 + -9x) + x(-9 + x)) = 8
(81 + -9x + (-9 * x + x * x)) = 8
(81 + -9x + (-9x + x2)) = 8

Combine like terms: -9x + -9x = -18x
(81 + -18x + x2) = 8

Solving
81 + -18x + x2 = 8

Solving for variable 'x'.

Reorder the terms:
81 + -8 + -18x + x2 = 8 + -8

Combine like terms: 81 + -8 = 73
73 + -18x + x2 = 8 + -8

Combine like terms: 8 + -8 = 0
73 + -18x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-73' to each side of the equation.
73 + -18x + -73 + x2 = 0 + -73

Reorder the terms:
73 + -73 + -18x + x2 = 0 + -73

Combine like terms: 73 + -73 = 0
0 + -18x + x2 = 0 + -73
-18x + x2 = 0 + -73

Combine like terms: 0 + -73 = -73
-18x + x2 = -73

The x term is -18x.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18x + 81 + x2 = -73 + 81

Reorder the terms:
81 + -18x + x2 = -73 + 81

Combine like terms: -73 + 81 = 8
81 + -18x + x2 = 8

Factor a perfect square on the left side:
(x + -9)(x + -9) = 8

Calculate the square root of the right side: 2.828427125

Break this problem into two subproblems by setting 
(x + -9) equal to 2.828427125 and -2.828427125.

Subproblem 1

x + -9 = 2.828427125 Simplifying x + -9 = 2.828427125 Reorder the terms: -9 + x = 2.828427125 Solving -9 + x = 2.828427125 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 2.828427125 + 9 Combine like terms: -9 + 9 = 0 0 + x = 2.828427125 + 9 x = 2.828427125 + 9 Combine like terms: 2.828427125 + 9 = 11.828427125 x = 11.828427125 Simplifying x = 11.828427125

Subproblem 2

x + -9 = -2.828427125 Simplifying x + -9 = -2.828427125 Reorder the terms: -9 + x = -2.828427125 Solving -9 + x = -2.828427125 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = -2.828427125 + 9 Combine like terms: -9 + 9 = 0 0 + x = -2.828427125 + 9 x = -2.828427125 + 9 Combine like terms: -2.828427125 + 9 = 6.171572875 x = 6.171572875 Simplifying x = 6.171572875

Solution

The solution to the problem is based on the solutions from the subproblems. x = {11.828427125, 6.171572875}

See similar equations:

| 4y+2-3y=8 | | 9f=4f+120 | | Abs(x^2+2x-9)=6 | | 5n+6n-2n= | | -x^2-2x+9=0 | | 8x+12=15x-4x | | 14-(-10)= | | (4b-2)(5b-4)= | | -2p-4+3p=10 | | 5n^2+18=-6+2n^2+27n | | -2x+5x-9=(3x-4)-5 | | 20x=-40+200 | | 4(r+3)-3z= | | p=300-215 | | 300=c-215 | | 17-4x+36= | | 3x-(2x+1)=8+5(3-x) | | 140-5x=22x+17 | | 4x+3=5-4 | | 14=2n+60 | | -20+9=-11+d+9 | | 16x^2+4x= | | 7+9n(-2+9)+1= | | y-2=11 | | 3p^2-23p=-14 | | 7+9(-2+9)+1= | | 5+2(x-2)=9 | | c+-4+4=-12 | | 11067x-5208=11067x-56 | | 12x^3+3x^2-42x=0 | | x^2-35x+216=0 | | 70=16c-128 |

Equations solver categories