SOLUTION: Solve {{{ 2sqrt(x+15)-2sqrt(x+3)=2 }}} Do I square all sides? Thank you!!

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Question 1073600: Solve +2sqrt%28x%2B15%29-2sqrt%28x%2B3%29=2+
Do I square all sides?
Thank you!!
Answer by ikleyn(52779) About Me  (Show Source):
You can put this solution on YOUR website!
.
Solve +2sqrt%28x%2B15%29-2sqrt%28x%2B3%29 = 2+.
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First step is

+2sqrt%28x%2B15%29 = 2+%2B+2sqrt%28x%2B3%29.


Now square both sides. You will get

4*(x + 15) = 4+%2B+8sqrt%28x%2B3%29+%2B+4%2A%28x%2B3%29.

Simplify

4x + 60 = 4+%2B+4x+%2B+12+%2B++8sqrt%28x%2B3%29,

44 = 8%2Asqrt%28x%2B3%29,

11 = 2%2Asqrt%28x%2B3%29.


What to do next ? - But of course, square both sides again !


I am sure that you can complete it on your own from this point.