y^2-17y+15=0

Simple and best practice solution for y^2-17y+15=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^2-17y+15=0 equation: 


Simplifying
y2 + -17y + 15 = 0

Reorder the terms:
15 + -17y + y2 = 0

Solving
15 + -17y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -17y + -15 + y2 = 0 + -15

Reorder the terms:
15 + -15 + -17y + y2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -17y + y2 = 0 + -15
-17y + y2 = 0 + -15

Combine like terms: 0 + -15 = -15
-17y + y2 = -15

The y term is -17y.  Take half its coefficient (-8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
-17y + 72.25 + y2 = -15 + 72.25

Reorder the terms:
72.25 + -17y + y2 = -15 + 72.25

Combine like terms: -15 + 72.25 = 57.25
72.25 + -17y + y2 = 57.25

Factor a perfect square on the left side:
(y + -8.5)(y + -8.5) = 57.25

Calculate the square root of the right side: 7.566372975

Break this problem into two subproblems by setting 
(y + -8.5) equal to 7.566372975 and -7.566372975.


Subproblem 1
y + -8.5 = 7.566372975

Simplifying
y + -8.5 = 7.566372975

Reorder the terms:
-8.5 + y = 7.566372975

Solving
-8.5 + y = 7.566372975

Solving for variable 'y'.

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

Add '8.5' to each side of the equation.
-8.5 + 8.5 + y = 7.566372975 + 8.5

Combine like terms: -8.5 + 8.5 = 0.0
0.0 + y = 7.566372975 + 8.5
y = 7.566372975 + 8.5

Combine like terms: 7.566372975 + 8.5 = 16.066372975
y = 16.066372975

Simplifying
y = 16.066372975


Subproblem 2
y + -8.5 = -7.566372975

Simplifying
y + -8.5 = -7.566372975

Reorder the terms:
-8.5 + y = -7.566372975

Solving
-8.5 + y = -7.566372975

Solving for variable 'y'.

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

Add '8.5' to each side of the equation.
-8.5 + 8.5 + y = -7.566372975 + 8.5

Combine like terms: -8.5 + 8.5 = 0.0
0.0 + y = -7.566372975 + 8.5
y = -7.566372975 + 8.5

Combine like terms: -7.566372975 + 8.5 = 0.933627025
y = 0.933627025

Simplifying
y = 0.933627025


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {16.066372975, 0.933627025}

See similar equations:

| 8x(x+5)=16x-15 | | .25(2x-4)=7 | | 0+5y=15 | | (2x-4)=7 | | 0-5y=-15 | | 5x(-7)=5 | | 4b^2-20b+25=0 | | 0.20(14000)+0.14x=0.018(14000+x) | | y^2-12y+35=0 | | 5x=18-2 | | y^2-12y+15=0 | | 4(v-1)=2v+4 | | 8x-3y=6 | | 4m+11=59 | | 2u-44=-8(u-2) | | 0.20(14000)+0.14=0.018(14000+x) | | 2(x-5)-12=4x-2(x-9) | | 4x+9+-2x=31 | | K+13+11k=157 | | x+x+(x+21)=180 | | 19+121x=7 | | 6(-3)-3y=-6 | | -4m-12=62 | | -1(w+8)=23 | | 6(0)-3y=-6 | | -16x^2+12x+24=0 | | 8x=-11+27 | | 7x^2-42x-14=0 | | 17-8+x=8+7-5 | | 45s^2+80st+35t^2=0 | | -19v=-2 | | 9=-3+x |

Equations solver categories