SOLUTION: solve for x: squared root of (4x+13) minus squared root of (x+1) = 3

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Question 957066: solve for x:
squared root of (4x+13) minus squared root of (x+1) = 3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%284x%2B13%29-sqrt%28x%2B1%29+=+3
sqrt%284x%2B13%29=3%2Bsqrt%28x%2B1%29
4x%2B13=9%2B6sqrt%28x%2B1%29%2Bx%2B1
4x%2B13=x%2B10%2B6sqrt%28x%2B1%29
3x%2B3=6sqrt%28x%2B1%29
%283x%2B3%29%5E2=36%28x%2B1%29
9x%5E2%2B18x%2B9=36x%2B36
9x%5E2-18x-27=0
x%5E2-2x-3=0
%28x-3%29%28x%2B1%29=0
Two solutions:
x-3=0
x=3
Verifying,
sqrt%2812%2B13%29-sqrt%284%29=3
sqrt%2825%29-2=3
5-2=3
3=3
Good solution,
and
x%2B1=0
x=-1
Verifying,
sqrt%28-4%2B13%29-sqrt%280%29=3
sqrt%289%29=3
3=3
Good solution.