SOLUTION: Solve and check. √(27-3x)=x-3

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Question 339277: Solve and check.
√(27-3x)=x-3

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve and check.
√(27-3x)=x-3
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Square both sides to get:
27-3x = x^2-6x+9
x^2 -3x - 18 = 0
(x-6)(x+3) = 0
x = 6 or x = -3
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Checking in sqrt(27-3x) = x-3
Check x = 6 ?
sqrt(27-18) = 6-3
sqrt(9) = 3
3 = 3
True
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Check x = -3
sqrt((27+9) = -3-3
sqrt(36) = -6
6 = -6
False
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Final solution: x = 6
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Cheers,
stan H.