Video/Why can't you solve quintic equations? - Galois theory explained intuitively
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Cheung, Trevor (Jul 3, 2022). Why can't you solve quintic equations? - Galois theory explained intuitively. local page: Mathemaniac.
The transcript by Assembly AI is here:Transcript
Excerpts from Youtube Page
It is a famous theorem (called Abel-Ruffini theorem) that there is no quintic formula, or quintic equations are not solvable; but very likely you are not told the exact reason why. Here is how traditionally we knew that such a formula cannot exist, using Galois theory.
Must see video on this subject
For those of you who have seen this video, you must also watch the video[1] by Carl Turner of not all wrong.
Critical terms mentioned in this video
Kummer extension and Cyclotomic Extensions(a.k.a. Abelian extension) are the two groups ideas explained in this video.
References
- ↑ Turner, Carl (Jul 5, 2021). Why There's 'No' Quintic Formula (without Galois theory). local page: not all wrong.
Related Pages
Organized by:Mathemaniac Presented by:Trevor Cheung