y^2-26y+85=0

Simple and best practice solution for y^2-26y+85=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^2-26y+85=0 equation: 


Simplifying
y2 + -26y + 85 = 0

Reorder the terms:
85 + -26y + y2 = 0

Solving
85 + -26y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-85' to each side of the equation.
85 + -26y + -85 + y2 = 0 + -85

Reorder the terms:
85 + -85 + -26y + y2 = 0 + -85

Combine like terms: 85 + -85 = 0
0 + -26y + y2 = 0 + -85
-26y + y2 = 0 + -85

Combine like terms: 0 + -85 = -85
-26y + y2 = -85

The y term is -26y.  Take half its coefficient (-13).
Square it (169) and add it to both sides.

Add '169' to each side of the equation.
-26y + 169 + y2 = -85 + 169

Reorder the terms:
169 + -26y + y2 = -85 + 169

Combine like terms: -85 + 169 = 84
169 + -26y + y2 = 84

Factor a perfect square on the left side:
(y + -13)(y + -13) = 84

Calculate the square root of the right side: 9.16515139

Break this problem into two subproblems by setting 
(y + -13) equal to 9.16515139 and -9.16515139.


Subproblem 1
y + -13 = 9.16515139

Simplifying
y + -13 = 9.16515139

Reorder the terms:
-13 + y = 9.16515139

Solving
-13 + y = 9.16515139

Solving for variable 'y'.

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

Add '13' to each side of the equation.
-13 + 13 + y = 9.16515139 + 13

Combine like terms: -13 + 13 = 0
0 + y = 9.16515139 + 13
y = 9.16515139 + 13

Combine like terms: 9.16515139 + 13 = 22.16515139
y = 22.16515139

Simplifying
y = 22.16515139


Subproblem 2
y + -13 = -9.16515139

Simplifying
y + -13 = -9.16515139

Reorder the terms:
-13 + y = -9.16515139

Solving
-13 + y = -9.16515139

Solving for variable 'y'.

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

Add '13' to each side of the equation.
-13 + 13 + y = -9.16515139 + 13

Combine like terms: -13 + 13 = 0
0 + y = -9.16515139 + 13
y = -9.16515139 + 13

Combine like terms: -9.16515139 + 13 = 3.83484861
y = 3.83484861

Simplifying
y = 3.83484861


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {22.16515139, 3.83484861}

See similar equations:

| x^2-80x+1600=6375 | | -8v+2-9v= | | x*4.5=1.9 | | -6v=-8 | | 2bx+2ax=4 | | -18x^3+910x^2-9611x+48912-17x^3-488x-14991= | | x*3=2.3 | | 4xp=140 | | 25x^-3y^10/35x^3y | | 8n+4-2+3=12 | | x^2-80x+1600=39 | | x-8/12=1-3-4x | | 0=-45-21x+6x^2 | | 16s^2=5 | | 6x+9y-10=0 | | 5(s-5)=15 | | 3-4b=10b-6 | | 6+5m=27-2m | | 84x+10y=1122.8 | | 9t-11=-38 | | x^2-2xy+y^2=39 | | 7y-1+56+7y-1=180 | | 84x+10y=1022.8 | | x^2-2xy+y^2=-561 | | 254=2(c-853) | | 107-s=51 | | 23j-33=519 | | x^2-2xy+y^2=-161 | | 8(j-794)=912 | | 170-q=102 | | 170-q=103 | | 4(2+1)=3(6+3)+1 |

Equations solver categories