SOLUTION: how i can find roots of this polynomial: x^5-5*x^3+10*x-1=0 i can not use horners theorem .

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Question 832224: how i can find roots of this polynomial: x^5-5*x^3+10*x-1=0
i can not use horners theorem .
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You can graph it to check how many real roots it has.
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+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+x%5E5-5x%5E3%2B10x-1%29+
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It has one real root which is not an integer root so numerical methods would be the best way to find the real root.
Using Newton's method, in one iteration, I found the root x=0.100507.
Methods to find complex roots are much more complicated.