document.write( "Question 429718: How do you solve the equation t^5 -256t = 0 \n" ); document.write( "

Algebra.Com's Answer #298448 by Gogonati(855) $\"\"$ $\"About$

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Solve:The first step is to factor the equation:\r
\n" ); document.write( "\n" ); document.write( " $\"t%28t%5E4-16%5E2%29=t%28t%5E2-16%29%28t%5E2%2B16%29=t%28t-4%29%28t%2B4%29%28t%5E2%2B16%29\"$ , rewrite the equation:\r
\n" ); document.write( "\n" ); document.write( " $\"t%28t-4%29%28t%2B4%29%28t%5E2%2B16%29=0\"$ This product is equal to zero if:\r
\n" ); document.write( "\n" ); document.write( "t=0, t-4=0 => t=4, t+4=0 => t=-4. ( $\"t%5E2%2B16\"$ , is always different from zero).\r
\n" ); document.write( "\n" ); document.write( "So, the real roots of this equation is the set {-4, 0, 4}.\r
\n" ); document.write( "\n" ); document.write( "Done. \n" ); document.write( "

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