SOLUTION: What are the extraneous solutions and the steps for: {{{sqrt(x-5)-sqrt(x)=-2}}}

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Question 253865: What are the extraneous solutions and the steps for:
sqrt%28x-5%29-sqrt%28x%29=-2
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x-5%29-sqrt%28x%29=-2
Square both sides:
%28x-5%29+%2B+x+-+2sqrt%28x%5E2-5x%29+=+4
2x-9+=+2sqrt%28x%5E2-5x%29
Square again
4x%5E2+-+36x+%2B+81+=+4x%5E2-20x
-+16x+%2B81+=+0
16x = 81
x = 81/16
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There are no extraneous solutions.