SOLUTION: Please help!!! 3y-2 (inside radical)= y-2

Question 264730: Please help!!!
3y-2 (inside radical)= y-2

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Square both sides to eliminate the square root.

FOIL

Get all terms to one 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

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the possible solutions are or

However, we need to check them. To do that, simply plug each possible solution into . If you get a true equation, then it will verify that particular possible solution. I'll let you do the check. Hint: One of the "possible" solutions is not a solution at all.
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