document.write( "Question 4952: x to the 2/3 - 9x to the 1/3 + 8 = 0 \n" ); document.write( "

Algebra.Com's Answer #2469 by Abbey(339) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E%282%2F3%29-9x%5E%281%2F3%29%2B8\"$ \r
\n" ); document.write( "\n" ); document.write( "Factor:
\n" ); document.write( " $\"%28x%5E%281%2F3%29-8%29%28x%5E%281%2F3%29-1%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Set it equal to zero:
\n" ); document.write( " $\"%28x%5E%281%2F3%29-8%29%28x%5E%281%2F3%29-1%29=0\"$
\n" ); document.write( " $\"x%5E%281%2F3%29=8\"$ or $\"x%5E%281%2F3%29=1%29\"$
\n" ); document.write( "cube both sides:
\n" ); document.write( "x=512 or x=1\r
\n" ); document.write( "\n" ); document.write( "check the solution with the original equation
\n" ); document.write( " $\"512%5E%282%2F3%29-9%28512%29%5E%281%2F3%29%2B8=0\"$
\n" ); document.write( " $\"64-72%2B8=0\"$
\n" ); document.write( " $\"1%5E%282%2F3%29-9%281%29%5E%281%2F3%29%2B8=0\"$
\n" ); document.write( " $\"1-9%2B8=0\"$ \r
\n" ); document.write( "\n" ); document.write( "Both of these are correct. \n" ); document.write( "

\n" );