SOLUTION: What is the solution set of the equation {{{ sqrt ( x+1 ) = x - 1 }}}? [Show work.]

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Question 395654: What is the solution set of the equation +sqrt+%28+x%2B1+%29+=+x+-+1+?
[Show work.]
Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
square both sides
x+1=(x-1)^2=x^2-2x+1
0=x^2-3x=x(x-3)
x=0 or x=3
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validate by checking each value on orginal equation
x=0: sqrt%280%2B1%29=0-1
1=-1 this is not true so x=0 is not a solution
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x=3 sqrt%283%2B1%29=3-1
2=3-1=2 check
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so x=3 is the solution