y^2-11y+8=16

Simple and best practice solution for y^2-11y+8=16 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^2-11y+8=16 equation: 


Simplifying
y2 + -11y + 8 = 16

Reorder the terms:
8 + -11y + y2 = 16

Solving
8 + -11y + y2 = 16

Solving for variable 'y'.

Reorder the terms:
8 + -16 + -11y + y2 = 16 + -16

Combine like terms: 8 + -16 = -8
-8 + -11y + y2 = 16 + -16

Combine like terms: 16 + -16 = 0
-8 + -11y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + -11y + 8 + y2 = 0 + 8

Reorder the terms:
-8 + 8 + -11y + y2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -11y + y2 = 0 + 8
-11y + y2 = 0 + 8

Combine like terms: 0 + 8 = 8
-11y + y2 = 8

The y term is -11y.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11y + 30.25 + y2 = 8 + 30.25

Reorder the terms:
30.25 + -11y + y2 = 8 + 30.25

Combine like terms: 8 + 30.25 = 38.25
30.25 + -11y + y2 = 38.25

Factor a perfect square on the left side:
(y + -5.5)(y + -5.5) = 38.25

Calculate the square root of the right side: 6.184658438

Break this problem into two subproblems by setting 
(y + -5.5) equal to 6.184658438 and -6.184658438.


Subproblem 1
y + -5.5 = 6.184658438

Simplifying
y + -5.5 = 6.184658438

Reorder the terms:
-5.5 + y = 6.184658438

Solving
-5.5 + y = 6.184658438

Solving for variable 'y'.

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

Add '5.5' to each side of the equation.
-5.5 + 5.5 + y = 6.184658438 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + y = 6.184658438 + 5.5
y = 6.184658438 + 5.5

Combine like terms: 6.184658438 + 5.5 = 11.684658438
y = 11.684658438

Simplifying
y = 11.684658438


Subproblem 2
y + -5.5 = -6.184658438

Simplifying
y + -5.5 = -6.184658438

Reorder the terms:
-5.5 + y = -6.184658438

Solving
-5.5 + y = -6.184658438

Solving for variable 'y'.

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

Add '5.5' to each side of the equation.
-5.5 + 5.5 + y = -6.184658438 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + y = -6.184658438 + 5.5
y = -6.184658438 + 5.5

Combine like terms: -6.184658438 + 5.5 = -0.684658438
y = -0.684658438

Simplifying
y = -0.684658438


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {11.684658438, -0.684658438}

See similar equations:

| 3x-(x+1)-1=-x+4(2-x) | | -t/6+1=3 | | 8(h-1)=6h+4+2b | | t/6+1=3 | | 3x-8=7(x-8) | | -4+x=2+3x | | y=-3x^2-12x-6 | | -128=4-4(4m+5) | | y+x=0 | | [x+3]+8=10 | | 3n+18=n^2 | | -8+3n=-8 | | -12+-14= | | x/7-x=2x | | 2x/7+0.8=5 | | 4x+10y=18 | | 2x+0.8=5 | | x^2*x=8 | | -5u+6=42 | | x^3-3x^2+54=0 | | x^2*x=128+x | | -3(x-6)+4(x+1)=7x-10 | | 6+48= | | 4x^2-24=20x | | 26+72=0 | | 36-30-5= | | 6-48= | | 5x^3+20x^2-25x=0 | | 26+72=x | | ab=ac | | -5-x=5-3x | | 4-2y=-2-6 |

Equations solver categories