SOLUTION: how would i solve; (x+5)^(1/2)-x=3

Question 196620: how would i solve;
(x+5)^(1/2)-x=3
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve;
(x+5)^(1/2)-x=3
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Rearrange:
sqrt(x+5) = x+3
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Square both sides to get:
x+5 = x^2 + 6x + 9
x^2 + 5x +4 = 0
Factor:
(x+4)(x+1) = 0
x = -4 or x = -1
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Check the potential answers in the original equation:
Check x = -4: sqrt(-4+5) = -4+3; sqrt(1) = -1 ; false
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Check x = -1: sqrt(-1+5) = -1+3 ; sqrt(4) = 2 ; true
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Soltuion: x = -1
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Cheers,
Stan H.
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