SOLUTION: X^6-x^2=0

Question 988414: X^6-x^2=0
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
X^6-x^2=0
x^2(x^4-1)=0, factoring out an x^2
X^4-1 is a difference of squares. Looking at that alone.
(x^2+1)(x^2-1)=0
And (x^2-1) is a difference of squares=(x+1)(x-1)
Put it all together:
x^2*(x^2+1)(x+1)(x-1)=0
It has roots of 0 (with multiplicity 2, so there is a "bounce",+/- i, +/-1

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