document.write( "Question 150763: please solve this rational equation: x^3/16= x^6/2 \n" ); document.write( "

Algebra.Com's Answer #110680 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"x%5E3%2F16+=+x%5E6%2F2\"$ Multiply both sides by 2.
\n" ); document.write( " $\"2x%5E3%2F16+=+x%5E6\"$ Divide both sides by $\"x%5E3\"$
\n" ); document.write( " $\"2%2F16+=+x%5E3\"$ Simplify the left side.
\n" ); document.write( " $\"1%2F8+=+x%5E3\"$ Take the cube root of both sides.
\n" ); document.write( " $\"1%2F2+=+x\"$
\n" ); document.write( "Solution: $\"x+=+1%2F2\"$
\n" ); document.write( "Check:
\n" ); document.write( " $\"x%5E3%2F16+=+x%5E6%2F2\"$ Substitute $\"x+=+1%2F2\"$
\n" ); document.write( " $\"%28%281%2F2%29%5E3%29%2F16+=+%28%281%2F2%29%5E6%29%2F2\"$
\n" ); document.write( " $\"%281%2F8%29%2F16+=+%281%2F64%29%2F2\"$ Simplify both sides.
\n" ); document.write( " $\"%281%2F8%29%2A%281%2F16%29+=+%281%2F64%29%2A%281%2F2%29\"$
\n" ); document.write( " $\"1%2F128+=+1%2F128\"$ \n" ); document.write( "

\n" );