On 20 January 2016 at 05:46, Denis Akhiyarov <denis.akhiya...@gmail.com> wrote: > On Tuesday, January 19, 2016 at 11:41:47 PM UTC-6, Denis Akhiyarov wrote: >> >> no algebraic roots according to this theorem: >> https://en.wikipedia.org/wiki/Abel%E2%80%93Ruffini_theorem
The theorem only shows that a general algebraic solution for *all* quintics (or higher degree polynomials) is not possible. In this case it is not a fully general quintic since the coefficients of x^3 and x^2 are both zero. I'm not sure how to check based on the coefficients of a polynomial whether or not its Galois group is solvable. Can sympy do that? To the OP: do you need to solve this in terms of symbols A, B etc. or is it acceptable to solve it using particular numbers for the coefficients? You may have better luck using the actual numbers. > actually this case looks like has some special properties and hence has some > roots according to Wolfram: > > http://www.wolframalpha.com/input/?i=A*x%5E5%2BB*x%5E4%2BC*x-D%3D0 My interpretation of that Wolfram output is that Wolfram is unable to solve this quintic (or rather this general family of quintics). -- Oscar -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at https://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/CAHVvXxSwgubqczYcavJ%2BBQVah0aR05dda-0fS4VPubBTajHizw%40mail.gmail.com. For more options, visit https://groups.google.com/d/optout.
