Why you can't solve quintic equations (Galois theory approach) #SoME2
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YouTubeMathemaniac
Why you can't solve quintic equations (Galois theory approach) #SoME2
An entry to #SoME2. 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. Correction: At 08:09, I forgot to put ellipsis in ...
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