SOLUTION: Solve for x: x+4=4√(x+1)

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Question 417718: Solve for x: x+4=4√(x+1)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Square both sides:
%28x%2B4%29%5E2+=+16%28x%2B1%29
<==> x%5E2+%2B+8x+%2B+16+=+16x+%2B+16
<==> x%5E2+-+8x+=+0
<==> x%28x-8%29+=+0
==> x = 0, 8.
Both values of x satisfy the original equation, and so are the final answers.