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A comment on Galois Theory. Parent comment

Re:Galois Theory by itishappy on Thursday August 15, 2024 @05:10PM (#41260397)
> Can we solve all quintics this way (for example)?

Nope. Wanna hazard a guess what theory was instrumental in proving that there's no closed form for general quintics?

https://en.wikipedia.org/wiki/Galois_theory#A_non-solvable_q...

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Re:Galois Theory by donkeybeer on Thursday August 15, 2024 @05:12PM (#41260414)
He is not wholly wrong, while not solvable in the general case by normal radicals, there is a family of functions, a special "radical" as he said, the Bring radical that solves the quintic generally. Of course as said its not a 5th root, but the solution to a certain family of quintics.
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Re:Galois Theory by itishappy on Thursday August 15, 2024 @06:38PM (#41261208)
Fascinating, thanks!
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