document.write( "Question 325540: Please help me solve y^3 - 7y^3/2 -8= 0 \n" ); document.write( "

Algebra.Com's Answer #233099 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use a substitution,
\n" ); document.write( "Let $\"u=y%5E3%2F2\"$ , then $\"u%5E2=y%5E3\"$
\n" ); document.write( " $\"y%5E3+-+7y%5E3%2F2+-8=+0\"$
\n" ); document.write( " $\"u%5E2+-+7u+-8=+0\"$
\n" ); document.write( " $\"%28u%2B1%29%28u-8%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"u=-1\"$
\n" ); document.write( " $\"y%5E%283%2F2%29=-1\"$
\n" ); document.write( "No solution.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"u-8=0\"$
\n" ); document.write( " $\"u=8\"$
\n" ); document.write( " $\"y%5E%283%2F2%29=8\"$
\n" ); document.write( " $\"y=8%5E%282%2F3%29\"$
\n" ); document.write( " $\"y=4\"$ \n" ); document.write( "

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