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