[Maxima] Finding roots of sextic in radicals

Stavros Macrakis macrakis at alum.mit.edu
Tue Jan 22 09:54:28 CST 2008

On Jan 22, 2008 7:38 AM, S. Newhouse <sen1 at math.msu.edu> wrote:

> Jordi Gutiérrez Hermoso wrote:
> ...the roots of x^6 + 3*x^5 + 6*x^4 + 3*x^3 + 9*x +9 should all be
> expressible by radicals....

> Using the fact that the roots are polynomials in 2^(1/3), the following
> commands makes the list sol_list of roots.

Nice solution!  Maxima actually lets you do this even more simply:

    p: x^6+3*x^5+6*x^4+3*x^3+9*x+9;
    p2: factor(p,q^3-2)$

-------------- next part --------------
An HTML attachment was scrubbed...
URL: http://www.math.utexas.edu/pipermail/maxima/attachments/20080122/c3156ba9/attachment.htm 

More information about the Maxima mailing list