SOLUTION: Solve for x: √(x+7)=x-5

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Question 417717: Solve for x: √(x+7)=x-5
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Square both sides of the equation:
x%2B7+=+x%5E2+-10x+%2B+25
0+=+x%5E2+-+11x+%2B+18
0 = (x - 2)(x - 9) ==> x = 2, 9.
x = 2 doesn't satisfy the original equation, while x = 9 does.
Therefore the final answer is x = 9.