document.write( "Question 583780: x^6=117649\r
\n" ); document.write( "\n" ); document.write( "I have 7 and -7, but I know there are a total of 6 answers. \n" ); document.write( "

Algebra.Com's Answer #372589 by Alan3354(69443) $\"\"$ $\"About$

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x^6=117649\r
\n" ); document.write( "\n" ); document.write( "I have 7 and -7, but I know there are a total of 6 answers.
\n" ); document.write( "-------------
\n" ); document.write( "x^6=117649
\n" ); document.write( "x^6 - 117649 = 0
\n" ); document.write( " $\"%28x%5E3+-+343%29%2A%28x%5E3+%2B+343%29+=+0\"$
\n" ); document.write( " $\"%28x-7%29%2A%28x%2B7%29%2A%28x%5E2+%2B+7x+%2B+49%29%2A%28x%5E2+-+7x+%2B+49%29++=+0\"$
\n" ); document.write( "Factor out the -7 & +7
\n" ); document.write( " $\"%28x%5E2+%2B+7x+%2B+49%29%2A%28x%5E2+-+7x+%2B+49%29++=+0\"$
\n" ); document.write( "Leaves 2 quadratics 2 solutions each.
\n" ); document.write( "----------
\n" ); document.write( "Or you could use De Moivre's Theorem. \n" ); document.write( "

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