SOLUTION: I have no idea how to do this one. Solve for the variable: 4(y-1)squared = 8(y+1)squared

Question 207875: I have no idea how to do this one.
Solve for the variable:
4(y-1)squared = 8(y+1)squared
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

FOIL

Distribute

Get every term to the left side.

Combine like terms.

Notice that the quadratic is in the form of where , , and

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

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

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

Break up the fraction.

Reduce.

or Break up the expression.

So the solutions are or

which approximate to or
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