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,

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