y^2-20y+12.96=0

Simple and best practice solution for y^2-20y+12.96=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^2-20y+12.96=0 equation: 


Simplifying
y2 + -20y + 12.96 = 0

Reorder the terms:
12.96 + -20y + y2 = 0

Solving
12.96 + -20y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-12.96' to each side of the equation.
12.96 + -20y + -12.96 + y2 = 0 + -12.96

Reorder the terms:
12.96 + -12.96 + -20y + y2 = 0 + -12.96

Combine like terms: 12.96 + -12.96 = 0.00
0.00 + -20y + y2 = 0 + -12.96
-20y + y2 = 0 + -12.96

Combine like terms: 0 + -12.96 = -12.96
-20y + y2 = -12.96

The y term is -20y.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20y + 100 + y2 = -12.96 + 100

Reorder the terms:
100 + -20y + y2 = -12.96 + 100

Combine like terms: -12.96 + 100 = 87.04
100 + -20y + y2 = 87.04

Factor a perfect square on the left side:
(y + -10)(y + -10) = 87.04

Calculate the square root of the right side: 9.329523032

Break this problem into two subproblems by setting 
(y + -10) equal to 9.329523032 and -9.329523032.


Subproblem 1
y + -10 = 9.329523032

Simplifying
y + -10 = 9.329523032

Reorder the terms:
-10 + y = 9.329523032

Solving
-10 + y = 9.329523032

Solving for variable 'y'.

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

Add '10' to each side of the equation.
-10 + 10 + y = 9.329523032 + 10

Combine like terms: -10 + 10 = 0
0 + y = 9.329523032 + 10
y = 9.329523032 + 10

Combine like terms: 9.329523032 + 10 = 19.329523032
y = 19.329523032

Simplifying
y = 19.329523032


Subproblem 2
y + -10 = -9.329523032

Simplifying
y + -10 = -9.329523032

Reorder the terms:
-10 + y = -9.329523032

Solving
-10 + y = -9.329523032

Solving for variable 'y'.

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

Add '10' to each side of the equation.
-10 + 10 + y = -9.329523032 + 10

Combine like terms: -10 + 10 = 0
0 + y = -9.329523032 + 10
y = -9.329523032 + 10

Combine like terms: -9.329523032 + 10 = 0.670476968
y = 0.670476968

Simplifying
y = 0.670476968


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {19.329523032, 0.670476968}

See similar equations:

| 2.5z-6.5=23.5 | | 8c+1=5c-14 | | 12x^2-68x+11= | | m^3+18m^2+81m= | | 958=6 | | a+6/2=-14 | | 462x=924 | | 462x=927 | | x^2-5x-33=3 | | 8(3a+7c)-6(2a+4c)= | | 16+21=30+13x | | 2x^2+6x-72=0 | | 2x^2+15x=2x+7 | | 8x-6x-3= | | m^3+16m^2+24m= | | 4n-12=60 | | 4n+12=60 | | x=3x+60 | | x^2y^2-24xy+144= | | x+3x+1=4x-6 | | -40i+2x=(5y)i-12 | | x^2-1x+25=0 | | -11+2x=3-2x | | x^2+8x-670=0 | | 3x-2y=45 | | 59-3x=9-8x | | 4x+11=-59-6x | | 3x+12=-40-10 | | 2n^2-28n+98= | | 1+4x=-5+x | | 7(7x-2)+9=49x-5 | | q^2+15q+54=0 |

Equations solver categories