SOLUTION: Find all solutions to x^6+7x^3-8=0

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Question 190611This question is from textbook Elementary and Intermediate Algebra
: Find all solutions to x^6+7x^3-8=0 This question is from textbook Elementary and Intermediate Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find all solutions to x^6+7x^3-8=0
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It's a quadratic with the variable being "x^3".
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(x^3)^2 + 7x^3 -8 = 0
Factor:
(x^3+8)(x^3-1) = 0
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x^3+8 = 0 or x^3-1 = 0
(x+2)(x^2-2x+4) or (x-1)(x^2+x+1)
x = -2 or x = 1 ; Use the quadratic formula to find
the zeroes of x^2-2x+4 and of x^2+x+1
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Cheers,
Stan H.