SOLUTION: Solve algebraically and check your potential solutions: sqrt(x+2)-x =0

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Question 308739: Solve algebraically and check your potential solutions: sqrt(x+2)-x =0

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve algebraically and check your potential solutions:
sqrt(x+2)-x =0
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sqrt(x+2) = x
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x+2 = x^2
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x^2-x-2 = 0
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Factor:
(x-2)(x+1) = 0
x = 2 or x = -1
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Checking:
Can x = 2?
sqrt(2+2)-2 = 0
2-2 = 0
Good
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Can x = -1?
sqrt(-1+2)-(-1) = 0
sqrt(1)+1 = 0
2 = 0
Not Good
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Cheers,
Stan H.
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