3 нояб. 2013 г. · The unsolvability of the general quintic equation is related to the unsolvability of the associated Galois group, the symmetric group on five elements. Exactly what does it mean that the quintic unsolvable Clarifying the meaning of insolvability of quintic Simplest unsolvable quintic with one real root Sketchable parts of infinite formulas for solutions of some ... Другие результаты с сайта math.stackexchange.com

15 окт. 2016 г. · Yeah, it's been a while, but I seem to remember it boils down to the fact that the alternating group of order 60 has no simple subgroups. Why is there no quintic formula? : r/learnmath - Reddit There's no general solution for quintics, but how deep can you ... ELI5: why can't quintic equations be solved using the ... - Reddit Другие результаты с сайта www.reddit.com

26 сент. 2016 г. · In particular, if the polynomial has repeated roots, the discriminant is zero. Using the formula above, you can express the discriminant in ...

9 янв. 2022 г. · One possible statement of the Abel–Ruffini theorem is that it is impossible to solve a general quintic equation by exclusively inverting ...

7 мар. 2020 г. · Every quintic polynomial can be solved. BUT not every quintic can be solved if your method of solution is restricted to using “plus, minus, multiplication, ... Which is correct, “the general quintic is unsolvable” or ... - Quora Why isn't there a quintic formula? - Quora Some sources say that 'It's impossible for a quintic formula to ... Другие результаты с сайта www.quora.com

Продолжительность: 45:24
Опубликовано: 3 июл. 2022 г.

Roots of a solvable quintic A polynomial equation is solvable by radicals if its Galois group is a solvable group. Finding roots of a quintic... · Solvable quintics

30 окт. 2022 г. · In this episode, we discuss the famous unsolvability of quintic polynomials: there exists no formula, consisting only of finitely many arithmetic operations ...

Because we have defined that f(x) is irreducible on Q, the solutions of equations cannot be rational numbers. Because the transcendental numbers cannot be the ...

... quintic (and higher) equations are unsolvable by radicals. Abel was working on a complete characterization when he died in 1829. According to Nathan ... Context · Proof · Polynomials with symmetric...