View source for Video/Why There's 'No' Quintic Formula (without Galois theory)

{{cite book
|first=Carl
|last=Turner
|author-link=Carl Turner
|date=Jul 5, 2021
|title=Why There's 'No' Quintic Formula (without Galois theory)
|url=https://www.youtube.com/watch?v=BSHv9Elk1MU
|location=[[Video/Why There's 'No' Quintic Formula (without Galois theory)|local page]]
|publisher=not all wrong
}}
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{{#widget:YouTube
|id=BSHv9Elk1MU
|width=640
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=Excerpts from Youtube Page=
Feel free to skip to 10:28 to see how to develop Vladimir Arnold's amazingly beautiful argument for the non-existence of a general algebraic formula for solving quintic equations! This result, known as the Abel-Ruffini theorem, is usually proved by Galois theory, which is hard and not very intuitive. But this approach uses little more than some basic properties of complex numbers. (PS: I forgot to mention Abel's original approach, which is a bit grim, and gives very little intuition at all!)

=Must see video on this subject=
For those of you who have seen this video, you must also watch the video<ref>{{:Video/Why can't you solve quintic equations? - Galois theory explained intuitively}}</ref> by [[Trevor Cheung]] of [[Mathemaniac]].

=Critical Connection to Petri Net=
{{:Why Dinning Philosopher problem requires at least five participants?}}

{{PagePostfix
|category_csd=Galois theory,Quintic Equations,Symmetry,Commutator
|semantic_labels=Organized by:[[Organized by::not all wrong]] Presented by:[[Presented by::Carl Turner]]
}}
</noinclude>