There are two radical terms. Choose
one of them to isolate, usually it's 
easier to choose the more complicated.

Isolate one term with a radical:



Put parentheses around both sides and
square them:



It's easy to square the left side because it
just has one term, a square root term, so you
just take away the radical. 

However the right side is not so easy to
square because it contains TWO terms.  You 
have to put it down twice and FOIL it out:











Now you have one radical term instead of two

Isolate the one term with a radical. I'll
isolate it on the right since that's the
side it's already on. So as before, put parentheses 
around both sides and square them:



Square both sides again:









THAT'S A QUADRATIC SO GET 0 on the right:



Factor the left side:



Set each factor = 0:

 gives 

 gives 

But we must check because sometimes 
we get extraneous or bogus solutions.

Checking  in the original equation:













That checks, too, so  is a valid solution.

Checking  in the original equation:













That checks so x=-1 is also a valid solution.

There are two solutions, 3 and -1.

Edwin