SOLUTION: How would you solve this equation? {{{ sqrt ( 2x ) = sqrt ( 3x+12 )-2 }}}

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Question 707329: How would you solve this equation?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39790) (Show Source):
You can put this solution on YOUR website!
Square both sides and simplify. You may make to:

Square both sides again and simplify, getting:

Easiest to use formula for solution to quadratic equation:

OR

and find what you get.

You get -10+6i or -10-6i
(complex results)

Answer by MathTherapy(10801) (Show Source):
You can put this solution on YOUR website!

How would you solve this equation? ************************************** The other person's response, that "You get -10+6i or -10-6i (complex results)", is WRONG11 As the smaller radicand, 2x MUST be greater than or equal to 0, we get: . So, . This gives us: , with ---- Squaring both sides ----- Squaring both sides x - 8 = 0. <==== VALID, and ACCEPTABLE solution for x, in THIS case!!