SOLUTION: can u please show me how to do this problem: the square root of (2x+5) - the square root of (x-2) = 3 I got the answer of 2, but i believe there is another possible answer,

Question 10593: can u please show me how to do this problem:

the square root of (2x+5) - the square root of (x-2) = 3
I got the answer of 2, but i believe there is another possible answer, and i dont know how to get it. thanks
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!

First step is to isolate one of the radicals. I recommend adding to each side of the equation.

Next, square both sides:

Combine like terms on the right side:

Subtract 7 and x from each side:

Now, square both sides again:

This just happens to factor!! It always does in these types of problems!!
(x-2)(x-38) = 0
x=2 or x = 38

You still have to check to see if it really works in the original equation.

Let x = 2

It checks:

Let x = 38

This one checks also.

R^2 at SCC

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