x^2-18x+73=0

Simple and best practice solution for x^2-18x+73=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^2-18x+73=0 equation: 


Simplifying
x2 + -18x + 73 = 0

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

Solving
73 + -18x + x2 = 0

Solving for variable 'x'.

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:

| (-7)+x=1 | | 3(2x+6)=90 | | 95=5+6z | | Y=2x^2-8x+34 | | (-4)=8-x | | 20=26-6n+(-12)+4n | | 2=18+x | | (-13)=x-12 | | x+20y=20 | | 19.5+0.5t=6.6206-0.4t | | 18d+4d-6(d+3)=30 | | 11+x=9 | | -9(5-3x)+7x(x+4)= | | 3x+4y=15.50 | | 58-4z=y | | 3=23-x | | 2(b+3)=-10 | | x+(-8)=11 | | 3y+y=84 | | 6m+5=-(1-8) | | .13=n+34 | | 4(3g+5)-4g=148 | | 8+2m=26 | | 24=8+2x | | 7.63x^2+2.77x=5.37 | | 22d=264 | | 10xn-50=10x(11-5) | | 6-2x-1=4x+8-6-3 | | 1+x=(-6) | | 8m+6-14m=64 | | t+(-2t)= | | 51=7y+9 |

Equations solver categories