
Re: Equation with x^4 + x^3 + x^2 + x + 1.
Posted:
Aug 7, 2012 2:38 PM


2012? 8? 8? ??? ?? 3? 25? 57? UTC+9, dilettante ?? ?: > "Mina" <mina_world@hanmail.net> wrote in message news:aff638310eab42c8a5caaa611d3e3d22@googlegroups.com... 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 (nonreal) 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.

