SOLUTION: {{{ sqrt(2x-5)=x-4 }}}
Algebra.Com
Question 1130036:
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Best answer,
x=7
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
sqrt(2x-5)=x-4
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Square both sides to get:
2x-5 = x^2-8x+16
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Rearrange::
x^2 - 10x + 21 = 0
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Factor::
(x-3)(x-7) = 0
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Check for extraneous answers::
x = 3 ?
sqrt(2*3-5) = 3-4
sqrt(1) = -1 (x = 3 is extraneous)
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x = 7 ?
sqrt(2*7-5) = 7-4
sqrt(9) = 3 (x = 7 is a solution)
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Cheers,
Stan H.
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