quintic
Speech parts
1. quintic - Noun
2. quintic - Adjective
Meaning
Of the fifth degree or order.
A quantic of the fifth degree. See Quantic.
Source: Webster's dictionarySynonyms
Examples
Are they the conquered quintic equations or elliptic functions?
During that time, Abel started working on the quintic equation in radicals.
For, in 1823, Abel had at last proved the impossibility of solving the quintic equation in radicals (now referred to as the Abel–Ruffini theorem ).
His most famous single result is the first complete proof demonstrating the impossibility of solving the general quintic equation in radicals.
In 1986, geometer Sheldon Katz proved that the number of curves, such as circles, that are defined by polynomials of degree two and lie entirely in the quintic is 609,250.
Since the Galois group of the general quintic equation is isomorphic to the symmetric group on five letters, and this normal subgroup is simple and non-abelian, the general quintic equation does not have a solution in radicals.