SOLUTION: Solve for x: √(x+7)=x-5

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Question 385050: Solve for x: √(x+7)=x-5
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
sqrt%28x%2B7%29+=+x-5 Square both sides.
%28sqrt%28x%2B7%29%29%5E2+=+%28x-5%29%5E2 Simplify.
x%2B7+=+x%5E2-10%2B25 Subtract x from both sides.
7+=+x%5E2-11x%2B25 Subtract 7 from both sides.
x%5E2-11x%2B18+=+0 Factor.
%28x-2%29%28x-9%29+=+0 Apply the zero product rule.
x-2+=+0 or x-9+=+0 so...
x+=+2 or x+=+9