I think after quintic it becomes cumbersome to name them (since the prefixes become increasingly more complex). Thus, I feel like "degree seven" or "seventh degree" polynomial is …

Feb 2, 2016 · Back in 1858 Hermite and Kronecker independently showed the quintic can be exactly solved for (using elliptic modular function). Also I think they're maybe other solution for …

Jan 25, 2013 · A recent question asks what makes degree 5 special when considering the roots of polynomials with integer coefficients etc. One answer is that the Galois Group of $S ...

Nov 23, 2025 · We are attempting to measure roots of quintic equations in Powerpoint. This is a mathematical curiosity inspired by Dr. Zye's recent video on making flags in Powerpoint. If you …

Jun 12, 2016 · If no, the quintic can be solved by radicals because polynomials with degree less than $5$ can always be solved by radicals. If yes, you have to find out the galois-group.

The insolvability of the quintic is about quintic equations in general, not about particular quintics such as this one. It says that there does not exist an analogue of the quadratic formula for …

Nov 16, 2022 · In short, I am looking for a precise example for the solvable quintic whose roots are the most complicated. Of course, the example this type of quintic itself can be interesting.

Aug 10, 2020 · (In fact since any quintic can be reduced to this form, in principle this method can be used to solve any quintic.) I can answer your second and fourth questions partially by …

Apr 10, 2016 · Discriminant of Quintic (Galois theory)? Ask Question Asked 9 years, 7 months ago Modified 9 years, 7 months ago

Mar 18, 2015 · The purpose here is to give a criterion for the solvability of such a quintic in terms of the existence of a rational root of an explicit associated resolvent sextic polynomial, and …