y^2-5y-7=0

Simple and best practice solution for y^2-5y-7=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^2-5y-7=0 equation: 


Simplifying
y2 + -5y + -7 = 0

Reorder the terms:
-7 + -5y + y2 = 0

Solving
-7 + -5y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '7' to each side of the equation.
-7 + -5y + 7 + y2 = 0 + 7

Reorder the terms:
-7 + 7 + -5y + y2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5y + y2 = 0 + 7
-5y + y2 = 0 + 7

Combine like terms: 0 + 7 = 7
-5y + y2 = 7

The y term is -5y.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5y + 6.25 + y2 = 7 + 6.25

Reorder the terms:
6.25 + -5y + y2 = 7 + 6.25

Combine like terms: 7 + 6.25 = 13.25
6.25 + -5y + y2 = 13.25

Factor a perfect square on the left side:
(y + -2.5)(y + -2.5) = 13.25

Calculate the square root of the right side: 3.640054945

Break this problem into two subproblems by setting 
(y + -2.5) equal to 3.640054945 and -3.640054945.


Subproblem 1
y + -2.5 = 3.640054945

Simplifying
y + -2.5 = 3.640054945

Reorder the terms:
-2.5 + y = 3.640054945

Solving
-2.5 + y = 3.640054945

Solving for variable 'y'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + y = 3.640054945 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + y = 3.640054945 + 2.5
y = 3.640054945 + 2.5

Combine like terms: 3.640054945 + 2.5 = 6.140054945
y = 6.140054945

Simplifying
y = 6.140054945


Subproblem 2
y + -2.5 = -3.640054945

Simplifying
y + -2.5 = -3.640054945

Reorder the terms:
-2.5 + y = -3.640054945

Solving
-2.5 + y = -3.640054945

Solving for variable 'y'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + y = -3.640054945 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + y = -3.640054945 + 2.5
y = -3.640054945 + 2.5

Combine like terms: -3.640054945 + 2.5 = -1.140054945
y = -1.140054945

Simplifying
y = -1.140054945


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {6.140054945, -1.140054945}

See similar equations:

| 2(3x+5)+2x-3=39 | | 3y+9=2y+6 | | a-3b=-22 | | -(-6x+8)-1=-23-x | | 8v-3=37 | | 3y-(y-2)=8 | | 88=8u | | 9v-18=54 | | -5x=2x-6 | | 3x-(-4x+7)=8 | | -(1+7p)+8(-3p+2)=-16 | | -2X+8=-2(3X+14) | | 110=22v | | -3(x-7)=x+9 | | 40x^2+x=1000000 | | 0.4x=0.2(x-8) | | 6x+4=-8-6x | | -42=7(3r+7)+7(r-1) | | 25=10 | | 5x^4-4x^3+40x-32= | | (4-t)(-7)= | | 2x+115=180 | | x+2(180-x)=180 | | 3y-y-2=8 | | 61-4x=14x+21 | | -(7-6A)-(22+5A)-17=-(3-7A)+(-A)+2 | | 9v=18 | | 2(6n-8)+2n=26 | | 0.4(X-4)=6.0 | | 5(4x)-5=15 | | 7+4x-9=16 | | -2u+18=-5u+3 |

Equations solver categories