document.write( "Question 948291: a. Find all real solutions to: x^(2/3) - x^(1/3) = 6. If you elimate a solution or equation, explain or show why. State clearly any substitution used.\r
\n" ); document.write( "\n" ); document.write( "b. A function f has the verbal description \"Subtract 2, then cube the result\" Find a formula that expresses f algebraically.\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #578776 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
a)
\n" ); document.write( "Use a substitution, $\"u=x%5E%281%2F3%29\"$ , $\"u%5E2=x%5E%282%2F3%29\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"u%5E2-u=6\"$
\n" ); document.write( " $\"u%5E2-u-6=0\"$
\n" ); document.write( " $\"%28u-3%29%28u%2B2%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"u-3=0\"$
\n" ); document.write( " $\"u=3\"$
\n" ); document.write( " $\"x%5E%281%2F3%29=3\"$
\n" ); document.write( " $\"x=27\"$
\n" ); document.write( "and
\n" ); document.write( " $\"u%2B2=0\"$
\n" ); document.write( " $\"u=-2\"$
\n" ); document.write( " $\"x%5E%281%2F3%29=-2\"$
\n" ); document.write( " $\"x=-8\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "b) $\"f%28x%29=%28x-2%29%5E3\"$
\n" ); document.write( " \n" ); document.write( "

\n" );