Question 583780
x^6=117649

I have 7 and -7, but I know there are a total of 6 answers.
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x^6=117649
x^6 - 117649 = 0
{{{(x^3 - 343)*(x^3 + 343) = 0}}}
{{{(x-7)*(x+7)*(x^2 + 7x + 49)*(x^2 - 7x + 49)  = 0}}}
Factor out the -7 & +7
{{{(x^2 + 7x + 49)*(x^2 - 7x + 49)  = 0}}}
Leaves 2 quadratics 2 solutions each.
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Or you could use De Moivre's Theorem.