y^2-18y+36=0

Simple and best practice solution for y^2-18y+36=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 y^2-18y+36=0 equation: 


Simplifying
y2 + -18y + 36 = 0

Reorder the terms:
36 + -18y + y2 = 0

Solving
36 + -18y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -18y + -36 + y2 = 0 + -36

Reorder the terms:
36 + -36 + -18y + y2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -18y + y2 = 0 + -36
-18y + y2 = 0 + -36

Combine like terms: 0 + -36 = -36
-18y + y2 = -36

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

Add '81' to each side of the equation.
-18y + 81 + y2 = -36 + 81

Reorder the terms:
81 + -18y + y2 = -36 + 81

Combine like terms: -36 + 81 = 45
81 + -18y + y2 = 45

Factor a perfect square on the left side:
(y + -9)(y + -9) = 45

Calculate the square root of the right side: 6.708203933

Break this problem into two subproblems by setting 
(y + -9) equal to 6.708203933 and -6.708203933.


Subproblem 1
y + -9 = 6.708203933

Simplifying
y + -9 = 6.708203933

Reorder the terms:
-9 + y = 6.708203933

Solving
-9 + y = 6.708203933

Solving for variable 'y'.

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

Add '9' to each side of the equation.
-9 + 9 + y = 6.708203933 + 9

Combine like terms: -9 + 9 = 0
0 + y = 6.708203933 + 9
y = 6.708203933 + 9

Combine like terms: 6.708203933 + 9 = 15.708203933
y = 15.708203933

Simplifying
y = 15.708203933


Subproblem 2
y + -9 = -6.708203933

Simplifying
y + -9 = -6.708203933

Reorder the terms:
-9 + y = -6.708203933

Solving
-9 + y = -6.708203933

Solving for variable 'y'.

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

Add '9' to each side of the equation.
-9 + 9 + y = -6.708203933 + 9

Combine like terms: -9 + 9 = 0
0 + y = -6.708203933 + 9
y = -6.708203933 + 9

Combine like terms: -6.708203933 + 9 = 2.291796067
y = 2.291796067

Simplifying
y = 2.291796067


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {15.708203933, 2.291796067}

See similar equations:

| 3.67/100 | | -1/5x-7/4=-4/3 | | 3x^2+20v+32=0 | | 15x^3=0 | | 4x^4+19x^2=5 | | -9c+4d/4c+3c-11d/4c | | 2/5-1/3 | | x=4-3.75+y | | -10y=100 | | 1x=4x^3 | | 2(3.5)+y=3 | | 2x-3+y=5 | | -2(8n+5)+6=-4(n-2) | | 28-3x=5x-12 | | 6x-1(2x-5)=10x-9h+17 | | -096=-6(2r+4) | | 9-x/7=7 | | 7x+2(3x-5)=9x-20-8x | | 5(y+-3)=8(y+6) | | d=-16t^2-4t+382 | | X+2(x+1)-5(2x-3)=8x-13 | | -1/3x+6=x-10 | | -8x-12y=12 | | 0=4x^4-12x^2+3 | | 3p-17=5p | | 15=3x^2-4x+18 | | 4k^2+5k+4=0 | | 2x(x-5)(3x+4)=0 | | -7x-6y=-12 | | 0=4x^4-12x^2+6 | | -3x-5y=-13 | | -1/3+6=x-10 |

Equations solver categories