Question 199277: solve. x=(x-2)squareroot of x
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! x = (x-2) sqrtx
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x/ (x-2) = sqrt x
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square both sides
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x^2 / (x-2)^2 =x
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x/ (x-2)^2 =1
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x= x^2 -4x +4
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0 = x^2 -5x +4
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0 = ( x-4)(x-1)
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x=4, ( 1,,,,,extraneous answer)
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checking
4= (4-2) sqrt4 = 2*2 ,,,,ok
1=(1-2) sqrt1 = -1(1) =-1,,,,therefore extraneous answer
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