SOLUTION: Please help me solve this radical equation: √x+9 + √x-7 = 8 ?

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Question 922468: Please help me solve this radical equation:
√x+9 + √x-7 = 8 ?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%2B9%29%2Bsqrt%28x-7%29=8
Separating the square roots, we get
sqrt%28x%2B9%29=8-sqrt%28x-7%29
We square both sides to get less square roots.
Thwn we can square again to have no square roots.
We will find all the solutions (plus maybe some extraneous solutions),
and we will check at the end.
%28sqrt%28x%2B9%29%29%5E2=%288-sqrt%28x-7%29%29%5E2
x%2B9=64-16sqrt%28x-7%29%2Bx-7
9=64-16sqrt%28x-7%29-7
16sqrt%28x-7%29=64-7-9
16sqrt%28x-7%29=48
dividing both sides by 16, we get
sqrt%28x-7%29=3
Squaring again,
x-7=9
x=7%2B9
x=16

Checking:
sqrt%2816%2B9%29%2Bsqrt%2816-7%29=sqrt%2825%29%2Bsqrt%289%29=5%2B3=8
The solution found checks out.
highlight%28x=16%29