k^2-18k+7=0

Simple and best practice solution for k^2-18k+7=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 k^2-18k+7=0 equation: 


Simplifying
k2 + -18k + 7 = 0

Reorder the terms:
7 + -18k + k2 = 0

Solving
7 + -18k + k2 = 0

Solving for variable 'k'.

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -18k + -7 + k2 = 0 + -7

Reorder the terms:
7 + -7 + -18k + k2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -18k + k2 = 0 + -7
-18k + k2 = 0 + -7

Combine like terms: 0 + -7 = -7
-18k + k2 = -7

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

Add '81' to each side of the equation.
-18k + 81 + k2 = -7 + 81

Reorder the terms:
81 + -18k + k2 = -7 + 81

Combine like terms: -7 + 81 = 74
81 + -18k + k2 = 74

Factor a perfect square on the left side:
(k + -9)(k + -9) = 74

Calculate the square root of the right side: 8.602325267

Break this problem into two subproblems by setting 
(k + -9) equal to 8.602325267 and -8.602325267.


Subproblem 1
k + -9 = 8.602325267

Simplifying
k + -9 = 8.602325267

Reorder the terms:
-9 + k = 8.602325267

Solving
-9 + k = 8.602325267

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + k = 8.602325267 + 9

Combine like terms: -9 + 9 = 0
0 + k = 8.602325267 + 9
k = 8.602325267 + 9

Combine like terms: 8.602325267 + 9 = 17.602325267
k = 17.602325267

Simplifying
k = 17.602325267


Subproblem 2
k + -9 = -8.602325267

Simplifying
k + -9 = -8.602325267

Reorder the terms:
-9 + k = -8.602325267

Solving
-9 + k = -8.602325267

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + k = -8.602325267 + 9

Combine like terms: -9 + 9 = 0
0 + k = -8.602325267 + 9
k = -8.602325267 + 9

Combine like terms: -8.602325267 + 9 = 0.397674733
k = 0.397674733

Simplifying
k = 0.397674733


Solution
The solution to the problem is based on the solutions
from the subproblems.
k = {17.602325267, 0.397674733}

See similar equations:

| 3(2x)=30 | | h-(-6.3)=8.12 | | 23x^2=13x | | (2x-4)= | | (((1+3t)(2t))-((1+(t^2))(3)))=(1+6t+(9t^2)) | | -1(d+5)=11.4 | | 3x-0.5=16 | | 2-x=3x | | 12-6h=h+6 | | -4x+9=3x | | 13.3x+2=24 | | g(w)=w^2-2 | | -2.5=n-(-5.37) | | 5x^2-14=1 | | 3=x/6+1 | | -2x-32=-5+13 | | -2.94=-0.42a | | (((1+3t)(2t))-((1+(t^2))(3)))=0 | | -7(y-12)=-147 | | 5+x+3=27*n | | 2(x+2)=15 | | ln(3x-5)=0 | | xu-6x+xu-x= | | -8.4=1.4y | | -8+4(-6x-3)=-5 | | -83=1-7(x+4) | | (3t^2)+2t-3=0 | | 2.4(x+4)=21.9 | | -1w+70=75 | | 10-3x=20+1 | | 4k^2-60k+56=0 | | -18+8=-5(x+8) |

Equations solver categories