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Topic: Equation with x^4 + x^3 + x^2 + x + 1.
Replies: 17   Last Post: Aug 10, 2012 2:55 AM

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Registered: 12/13/04
Re: Equation with x^4 + x^3 + x^2 + x + 1.
Posted: Aug 7, 2012 2:38 PM
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2012? 8? 8? ??? ?? 3? 25? 57? UTC+9, dilettante ?? ?:
> "Mina" <> wrote in message 2012? 8? 8? ??? ?? 2? 13? 23? UTC+9, dilettante ?? ?: >Hm.. If c is a complex number, >the answer with sum{k=1 to 100} a_k vary ? >why? From the statement of the problem, c is necessarily a (non-real) complex number. The sum is zero, as you computed. There is no other case to consider. If the problem started by saying "let r be a real root of x^4 + x^3 + x^2 + x + 1= 0", the given solution would make no sense, because there is no such number, and hence no sum to compute. Do I get the prize now?

Hm.. it seems not for error.

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