binomial equation

Binomial equation is an algebraic equation of the


where n is a positive integer, a belongs to a certain field (or sometimes to a certain ring) and x is the unknown (or the indeterminate) of the equation.  Solving the binomial equation means taking the nth root ( of a.

The binomial equation is written also


Such a binomial equation may be examined in a group, too.

A special case of the binomial equation is the cyclotomic equation


This name comes from the fact that the roots ( of the equation the unit circle in the complex planeMathworldPlanetmath into n equally long arcs (Greek ϰυ´ϰλoς ‘circle’,  τo´μoς ‘part’).

Title binomial equation
Canonical name BinomialEquation
Date of creation 2013-03-22 17:46:05
Last modified on 2013-03-22 17:46:05
Owner pahio (2872)
Last modified by pahio (2872)
Numerical id 9
Author pahio (2872)
Entry type Definition
Classification msc 11C08
Classification msc 12E05
Related topic Binomial
Related topic CalculatingTheNthRootsOfAComplexNumber
Related topic RootOfUnity
Defines cyclotomic equation