Square root of 2X + 3 = 2X - 3 



Square both sides:





Use FOIL on the right





Get 0 on the left by adding
-2X-3 to both sides



Divide every term by 2



 

Factor the right hand side:



Set each factor = 0





That's one answer.







That's the other answer.

You MUST ALWAYS check
even-root equations for
extraneous answers:

Checking the answer x=3









That checks, so the answer x=3 is a solution.

Checking the answer x=1/2









That DOES NOT check, so the answer x=1/2
is NOT a solution.

The only solution is X=3

Edwin