# Solution of Qunitic Equation using Elliptic Functions

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## Contents

## 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

- 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {A}.30$: Hermite ($1822$ – $1901$)