bn:00002678n
Noun Concept
Categories: Algebraic numbers, Articles with short description
EN
algebraic number  algebraic numbers  Algebraics  Algebrayic number  Degree of an algebraic number
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EN
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)
EN
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
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