[Maxima] Finding roots of sextic in radicals
sen1 at math.msu.edu
Tue Jan 22 06:38:52 CST 2008
Jordi Gutiérrez Hermoso wrote:
> If my calculations are correct, the roots of x^6 + 3*x^5 + 6*x^4 +
> 3*x^3 + 9*x +9 should all be expressible by radicals. In fact, they
> are all polynomials in terms of 2^(1/3) and a cube root of unity.
> How can I make Maxima tell me what the roots actually are?
> - Jordi G. H.
> Maxima mailing list
> Maxima at math.utexas.edu
Using the fact that the roots are polynomials in 2^(1/3),
the following commands makes the list
tests that they are indeed the roots.
sol_list: [r(1,1),r(1,2),r(2,1),r(2,2), r(3,1),r(3,2)];
test(i,j):= ratsimp(ev(subst(x = r(i,j),p)));
More information about the Maxima