SOLUTION: How do you solve the equation t^5 -256t = 0

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Question 429718: How do you solve the equation t^5 -256t = 0
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:The first step is to factor the equation:
t%28t%5E4-16%5E2%29=t%28t%5E2-16%29%28t%5E2%2B16%29=t%28t-4%29%28t%2B4%29%28t%5E2%2B16%29, rewrite the equation:
t%28t-4%29%28t%2B4%29%28t%5E2%2B16%29=0 This product is equal to zero if:
t=0, t-4=0 => t=4, t+4=0 => t=-4. (t%5E2%2B16, is always different from zero).
So, the real roots of this equation is the set {-4, 0, 4}.
Done.