SOLUTION: Any help on this problem would be great Solve for the variable 2(y � 1)^2 = 4(y + 1)^2 ERic

Question 296645: Any help on this problem would be great

Solve for the variable
2(y � 1)^2 = 4(y + 1)^2
ERic
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

FOIL

Distribute.

Get everything to one side.

Combine like terms.

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for y:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=2, b=12, and c=2

Square 12 to get 144

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 2 to get 4

So now the expression breaks down into two parts

or

Now break up the fraction

or

Simplify

or

So the solutions are:

or

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