SOLUTION: Solve algebraically and check your potential solutions: √(x+2)-x=0
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Question 196612: Solve algebraically and check your potential solutions: √(x+2)-x=0
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve algebraically and check your potential solutions: √(x+2)-x=0
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Rearrange:
sqrt(x+2) = x
Square both sides to get:
x+2 = x^2
x^2-x-2 = 0
Factor:
(x-2)(x+1) = 0
x = 2 or x = -1
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Check x = 2 in the original equation:
sqrt(2+2) = 2
That is true
--------
Check x = -1 in the original equation:
sqrt(-1+2) = -1
That is false
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Final Solution:
x = 2
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Cheers,
Stan H.
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