document.write( "Question 199277: solve. x=(x-2)squareroot of x \n" ); document.write( "

Algebra.Com's Answer #149736 by RAY100(1637) $\"\"$ $\"About$

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x = (x-2) sqrtx
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\n" ); document.write( "x/ (x-2) = sqrt x
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\n" ); document.write( "square both sides
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\n" ); document.write( "x^2 / (x-2)^2 =x
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\n" ); document.write( "x/ (x-2)^2 =1
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\n" ); document.write( "x= x^2 -4x +4
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\n" ); document.write( "0 = x^2 -5x +4
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\n" ); document.write( "0 = ( x-4)(x-1)
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\n" ); document.write( "x=4, ( 1,,,,,extraneous answer)
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\n" ); document.write( "checking
\n" ); document.write( "4= (4-2) sqrt4 = 2*2 ,,,,ok
\n" ); document.write( "1=(1-2) sqrt1 = -1(1) =-1,,,,therefore extraneous answer \n" ); document.write( "

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