SOLUTION: Solve equation w/ two radicals Square over 2x+3 - Square over x+1=1

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Question 77955: Solve equation w/ two radicals
Square over 2x+3 - Square over x+1=1
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%282x+%2B+3%29+-+sqrt%28x+%2B+1%29+=+1
sqrt%282x+%2B+3%29+=+1+%2B+sqrt%28x+%2B+1%29
sqrt%282x+%2B+3%29%5E2+=+%281+%2B+sqrt%28x+%2B+1%29%29%5E2
2x+%2B+3+=+1+%2B+2sqrt%28x+%2B+1%29+%2B+x+%2B+1
x+%2B+1+=+2sqrt%28x+%2B+1%29
%28x+%2B+1%29%2F2+=+sqrt%28x+%2B+1%29
%28x%5E2+%2B+2x+%2B+1%29%2F4+=+x+%2B+1
x%5E2+%2B+2x+%2B+1+=+4x+%2B+4
x%5E2+-+2x+-+3+=+0
%28x+%2B+1%29%28x+-+3%29+=+0
x = -1
and
x = 3
graph%28300%2C300%2C-3%2C3%2C-2%2C4%2Csqrt%282x+%2B+3%29+-+sqrt%28x+%2B+1%29%2C1%29