BabelNet

bn:00002678n

Noun Concept

Categories: Articles with short description, Algebraic numbers

algebraic number algebraic numbers Algebraics Algebrayic number Degree of an algebraic number

Root of an algebraic equation with rational coefficients WordNet 3.0

Definitions

Examples

Relations

Sources

Root of an algebraic equation with rational coefficients WordNet 3.0 & Open English WordNet

An algebraic number is a number that is a root of a non-zero polynomial in one variable with integer coefficients. Wikipedia

Complex number that is a root of a non-zero polynomial in one variable with rational coefficients Wikidata

A complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose coefficients are rational numbers. Wiktionary

Element of a number field that is a root of a polynomial with integer coefficients. Wiktionary (translation)

The golden ratio (φ) is an algebraic number since it is a solution of the quadratic equation x 2 + x − 1 = 0 , whose coefficients are integers. Wiktionary

The square root of a rational number, m n , is an algebraic number since it is a solution of the quadratic equation n x 2 − m = 0 , whose coefficients are integers. Wiktionary

IS A

irrational number

complex number

geometrical properties of polynomial roots

HAS KIND