y^2+20y-17=0

Simple and best practice solution for y^2+20y-17=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-17=0 equation: 


Simplifying
y2 + 20y + -17 = 0

Reorder the terms:
-17 + 20y + y2 = 0

Solving
-17 + 20y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '17' to each side of the equation.
-17 + 20y + 17 + y2 = 0 + 17

Reorder the terms:
-17 + 17 + 20y + y2 = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 20y + y2 = 0 + 17
20y + y2 = 0 + 17

Combine like terms: 0 + 17 = 17
20y + y2 = 17

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 = 17 + 100

Reorder the terms:
100 + 20y + y2 = 17 + 100

Combine like terms: 17 + 100 = 117
100 + 20y + y2 = 117

Factor a perfect square on the left side:
(y + 10)(y + 10) = 117

Calculate the square root of the right side: 10.816653826

Break this problem into two subproblems by setting 
(y + 10) equal to 10.816653826 and -10.816653826.


Subproblem 1
y + 10 = 10.816653826

Simplifying
y + 10 = 10.816653826

Reorder the terms:
10 + y = 10.816653826

Solving
10 + y = 10.816653826

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 = 10.816653826 + -10

Combine like terms: 10 + -10 = 0
0 + y = 10.816653826 + -10
y = 10.816653826 + -10

Combine like terms: 10.816653826 + -10 = 0.816653826
y = 0.816653826

Simplifying
y = 0.816653826


Subproblem 2
y + 10 = -10.816653826

Simplifying
y + 10 = -10.816653826

Reorder the terms:
10 + y = -10.816653826

Solving
10 + y = -10.816653826

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 = -10.816653826 + -10

Combine like terms: 10 + -10 = 0
0 + y = -10.816653826 + -10
y = -10.816653826 + -10

Combine like terms: -10.816653826 + -10 = -20.816653826
y = -20.816653826

Simplifying
y = -20.816653826


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.816653826, -20.816653826}

See similar equations:

| 12-7x=-7x+4x | | 2x-5x-18=0 | | r^2-r-90=0 | | 30+3k=72 | | r=(1+b)m | | 13-7x=-7x+4x | | -t^2+35t+42=0 | | 1.5x+7=35 | | 2+4(n+5)=-13-n | | -t+35t+42=0 | | -5cot(-x)=-2cot(x)+5 | | 1.5x+7= | | 45-24=X | | 0.50x-1=2x-6 | | 25n=5 | | 45-12=X | | 2x-3-5x=30 | | -64=-4(8-k)+7(1+5k) | | -8b+7b=-15-6b | | 3q-1=10q+7 | | v=4i | | 2x^2-4x=160 | | 64=-4(8-k)+7(1+5k) | | -x=x+16 | | 6x-6x=-3x | | 6c+7d-3d= | | x(4*2)=-.25 | | 14(x-21)=28 | | 34=X+12 | | -4(2x+10)=-12 | | 2(2.5b-9)+6-7b= | | log(2)9x-log(2)3=3 |

Equations solver categories