SOLUTION: slove the radical equation algebraically and check for extraneous solutions the square root of 3x-2=x-4

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Question 321553: slove the radical equation algebraically and check for extraneous solutions
the square root of 3x-2=x-4
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve the radical equation algebraically and check for extraneous solutions
the square root of 3x-2=x-4
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sqrt(3x-2) = x-4
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Square both sides:
3x-2 = x^2-8x+16
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x^2-11x+18 = 0
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(x-2)(x-9) = 0
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x = 2 or x = 9
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Check solutions in the original equation:
sqrt(3x-2) = x-4
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x = 2 ?
sqrt(4) = 2-4
False
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x = 9 ?
sqrt(25) = 9-4
True
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Final Solution: x = 9
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Cheers,
Stan H.
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