quintic equation

Related to quintic equation: Quartic equation

quintic equation

[′kwin·tik i′kwā·zhən]

(mathematics)

A fifth-degree polynomial equation.

References in periodicals archive ?

"As I was about to say, before being so rudely interrupted;' continues Einstein, "Young Abel died of starvation and tuberculosis before he could win acclaim for his proof that the quintic equation couldn't be solved by formula.

A day in heaven

This book opens with a review of some of these efforts, including the development of algebra and the discovery of the quintic equation, which resisted solution for centuries.

The Equation that Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry

This is in one of several "reduced" forms of a quintic equation; the fact that the of the coefficients are real, however, is fortuitous and cannot be guaranteed by a "reduction" (Burnside & Panton, 2005, p.

To solve the quintic equation there are now only two more roots to identify; these--we know in advance--are complex conjugates of each other, as the coefficients of the original equation are all real, and we are well on our way to finding all five roots of the polynomial equation.