Squaring both sides gives:

So our solutions are x = 1.5 or -1.

CHECK:

Substituting x = 1.5 in our original equation gives:

Checks OK

Substituting x = -1 in our original equation gives:

DOES NOT check OK

So we conclude the only solution is x = 1.5.

Can you figure out where the 'wrong' solution is coming from?