SOLUTION: x^6=117649 I have 7 and -7, but I know there are a total of 6 answers.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: x^6=117649 I have 7 and -7, but I know there are a total of 6 answers.      Log On


   

Question 583780: x^6=117649
I have 7 and -7, but I know there are a total of 6 answers.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
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
%28x%5E3+-+343%29%2A%28x%5E3+%2B+343%29+=+0
%28x-7%29%2A%28x%2B7%29%2A%28x%5E2+%2B+7x+%2B+49%29%2A%28x%5E2+-+7x+%2B+49%29++=+0
Factor out the -7 & +7
%28x%5E2+%2B+7x+%2B+49%29%2A%28x%5E2+-+7x+%2B+49%29++=+0
Leaves 2 quadratics 2 solutions each.
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Or you could use De Moivre's Theorem.