document.write( "Question 717597: Help me solve this polynomial equation algebraically:
\n" ); document.write( "(x^6) - (x^2) = 0 \n" ); document.write( "

Algebra.Com's Answer #440343 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E6+-+x%5E2+=+0\"$ ...factor out $\"x%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2+%28x%5E4+-+1%29=+0\"$ .....write $\"x%5E4+-+1\"$ as $\"%28x%5E2%29%5E2+-+1%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E2+%28%28x%5E2%29%5E2+-+1%5E2%29=+0\"$ ...factor $\"%28x%5E2%29%5E2+-+1%5E2\"$ as $\"%28x%5E2+-+1%29%28x%5E2%2B+1%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2+%28%28x%5E2+-+1%29%28x%5E2%2B+1%29%29=+0\"$ ...factor $\"%28x%5E2+-+1%29\"$ as $\"%28x+-+1%29%28x%2B1%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E2+%28x+-+1%29%28x%2B1%29%28x%5E2%2B+1%29=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if $\"x%5E2=0\"$ .....=>... $\"x=0\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"x-1=0\"$ .....=>... $\"x=1\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"x%2B1=0\"$ .....=>... $\"x=-1\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"x%5E2%2B+1=0\"$ .....=>... $\"x%5E2=-1\"$ .....=>... $\"x=sqrt%28-1%29\"$ ...=>... $\"x=i\"$ or $\"x=-i\"$ \r
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