Solution of Qunitic Equation using Elliptic Functions

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Theorem

A quintic equation can be solved using elliptic functions.


Proof


Historical Note

The Abel-Ruffini Theorem, on the general insolubility of the quintic by radicals, was proved by Niels Henrik Abel in $1823$.


However, Charles Hermite demonstrated a technique for solving a general quintic using elliptic functions in $1858$.


Sources