y^2-6y-2=0

Simple and best practice solution for y^2-6y-2=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^2-6y-2=0 equation: 


Simplifying
y2 + -6y + -2 = 0

Reorder the terms:
-2 + -6y + y2 = 0

Solving
-2 + -6y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -6y + 2 + y2 = 0 + 2

Reorder the terms:
-2 + 2 + -6y + y2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -6y + y2 = 0 + 2
-6y + y2 = 0 + 2

Combine like terms: 0 + 2 = 2
-6y + y2 = 2

The y term is -6y.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6y + 9 + y2 = 2 + 9

Reorder the terms:
9 + -6y + y2 = 2 + 9

Combine like terms: 2 + 9 = 11
9 + -6y + y2 = 11

Factor a perfect square on the left side:
(y + -3)(y + -3) = 11

Calculate the square root of the right side: 3.31662479

Break this problem into two subproblems by setting 
(y + -3) equal to 3.31662479 and -3.31662479.


Subproblem 1
y + -3 = 3.31662479

Simplifying
y + -3 = 3.31662479

Reorder the terms:
-3 + y = 3.31662479

Solving
-3 + y = 3.31662479

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + y = 3.31662479 + 3

Combine like terms: -3 + 3 = 0
0 + y = 3.31662479 + 3
y = 3.31662479 + 3

Combine like terms: 3.31662479 + 3 = 6.31662479
y = 6.31662479

Simplifying
y = 6.31662479


Subproblem 2
y + -3 = -3.31662479

Simplifying
y + -3 = -3.31662479

Reorder the terms:
-3 + y = -3.31662479

Solving
-3 + y = -3.31662479

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + y = -3.31662479 + 3

Combine like terms: -3 + 3 = 0
0 + y = -3.31662479 + 3
y = -3.31662479 + 3

Combine like terms: -3.31662479 + 3 = -0.31662479
y = -0.31662479

Simplifying
y = -0.31662479


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {6.31662479, -0.31662479}

See similar equations:

| 8-1/2=53 | | 3w+6=2(w-1) | | 46x+19y=13 | | 3.5b=96 | | -(4x-7)=2(x+3)-4x+13 | | 2w-4=-10 | | x/3.5=0.2 | | 4(-5y-3)-(6y+3)= | | y=57/y-16 | | 1.50=6q | | 10x-6+192=10x+96 | | r(r-6)=-9 | | 12-(2m+5)=2+4m-19 | | (3a-9+4b)-(a-5+2a)=0 | | 2y-6=10y-58 | | (5x-3)(x-4)=0 | | 52x+3.2-1.75=17x+2-1.85+19x | | 149+13x+5=180 | | 9x-45=8x+40 | | 4-lnx=9 | | x(6x+24)=0 | | 2x+1=210 | | 8(99)=8(100)-8(u) | | 3.14=314X | | 5x-8y=23 | | 4z-5+3z=9 | | 72+3x+3=90 | | 4x-2x+5= | | 30(20-10)=30(22)-30(i) | | -5x+4=1 | | 77-7y=126 | | 15.50x+9.25=12.50x |

Equations solver categories