document.write( "Question 698364: X^(2/3)-6x^(1/3)+5 \n" ); document.write( "

Algebra.Com's Answer #430751 by KMST(5328) $\"\"$ $\"About$

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You probably meant x^(2/3)-6x^(1/3)+5=0
\n" ); document.write( "With the change of variable y=x^(1/3) --> x^(2/3)=[x^(1/3)]^2=y^2 ,
\n" ); document.write( "the equation turns into the quadratic equation
\n" ); document.write( " $\"y%5E2-6y%2B5=0\"$ with solutions $\"y=1\"$ and $\"y=5\"$
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\n" ); document.write( "Going back to $\"x\"$ ,
\n" ); document.write( "y=x^(1/3) <--> $\"y%5E3=x\"$ , so
\n" ); document.write( " $\"y=1\"$ --> $\"y%5E3=x=1%5E3=1\"$ --> $\"highlight%28x=1%29\"$
\n" ); document.write( " $\"y=5\"$ --> $\"y%5E3=x=5%5E3=125\"$ --> $\"highlight%28x=125%29\"$
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