[Maxima] Finding roots of sextic in radicals
willisb at unk.edu
Wed Jan 23 12:24:51 CST 2008
A to_poly amusement:
maxima-bounces at math.utexas.edu wrote on 01/23/2008 12:15:51 PM:
> On 22/01/2008, Stavros Macrakis <macrakis at alum.mit.edu> wrote:
> > p: x^6+3*x^5+6*x^4+3*x^3+9*x+9;
> > p2: factor(p,q^3-2)$
> > solve(subst(q=2^(1/3),p2),x);
> Sweet, I didn't know you could give hints to the factor function.
> Good to know.
> As for those of you who offered numerical solutions, yes, there is no
> general formula for a quintic or higher, but this wasn't a general
> polynomial, but a very specific one. It's the minimal polynomial for
> 2^(1/3) + exp(2*%pi*%i/3) over the rationals. :-)
> Thank you for your help,
> - Jordi G. H.
> Maxima mailing list
> Maxima at math.utexas.edu
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