English Dictionary

algebraic number

noun

(algebra, number theory) 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.

An algebraic number is a number that is a root of a non-zero polynomial equation with integer coefficients.

意味（1）

(algebra, number theory) 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.

The golden ratio (φ) is an algebraic number since it is a solution of the quadratic equation x²+x-1=0, whose coefficients are integers.