document.write( "Question 988414: X^6-x^2=0 \n" ); document.write( "

Algebra.Com's Answer #608973 by Boreal(15235) $\"\"$ $\"About$

You can put this solution on YOUR website!
X^6-x^2=0
\n" ); document.write( "x^2(x^4-1)=0, factoring out an x^2
\n" ); document.write( "X^4-1 is a difference of squares. Looking at that alone.
\n" ); document.write( "(x^2+1)(x^2-1)=0
\n" ); document.write( "And (x^2-1) is a difference of squares=(x+1)(x-1)
\n" ); document.write( "Put it all together:
\n" ); document.write( "x^2*(x^2+1)(x+1)(x-1)=0
\n" ); document.write( "It has roots of 0 (with multiplicity 2, so there is a \"bounce\",+/- i, +/-1
\n" ); document.write( " $\"graph%28300%2C300%2C-2%2C2%2C-5%2C5%2Cx%5E6-x%5E2%29\"$
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