Why you can't solve quintic equations (Galois theory approach) #SoME2

Transcript

One of the most famous theorems in maths is  that quintic equations are not solvable. Or more precisely, some quintic equations have roots  that cannot be expressed in terms of radicals, i.e. finite combinations of all  these operations and nth roots. But how do mathematicians even  start to prove this theorem? [CHAPTER 1: THE SETUP] In algebra, ... Read More