Oscar, you need to click on "more roots" in wolfram alpha to see the algebraic solution, which is definitely confusing.
On Wednesday, January 20, 2016 at 3:55:37 AM UTC-6, Oscar wrote: > > On 20 January 2016 at 05:46, Denis Akhiyarov <[email protected] > <javascript:>> 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 [email protected]. To post to this group, send email to [email protected]. 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/b8e597b0-990e-4f5a-b2ee-0dce9889c816%40googlegroups.com. For more options, visit https://groups.google.com/d/optout.
