Solution of Qunitic Equation using Elliptic Functions
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Theorem
A quintic equation can be solved using elliptic functions.
Proof
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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 ($\text {1822}$ – $\text {1901}$)