BIQUADRATIC

biquadratic

(adjective) involving the fourth and no higher power of a quantity or degree

biquadratic, biquadratic polynomial, quartic polynomial

(noun) a polynomial of the fourth degree

biquadrate, biquadratic, quartic, fourth power

(noun) an algebraic equation or function of the fourth degree

Source: WordNet® 3.1


Etymology

Adjective

biquadratic (not comparable)

(mathematics) Of a polynomial expression, involving only the second, third and fourth powers of a variable, as x4 + 3x2 + 2. Sometimes extended to any expression involving the biquadrate or fourth power (but no higher powers), as x4 − 4x3 + 3x2x + 1.

Noun

biquadratic (plural biquadratics)

(mathematics) A biquadratic equation.

Source: Wiktionary


Bi`quad*rat"ic, a. Etym: [Pref. bi- + quadratic: cf. F. biquadratique.] (Math.)

Definition: Of or pertaining to the biquadrate, or fourth power. Biquadratic equation (Alg.), an equation of the fourth degree, or an equation in some term of which the unknown quantity is raised to the fourth power.

– Biquadratic root of a number, the square root of the square root of that number. Thus the square root of 81 is 9, and the square root of 9 is 3, which is the biquadratic root of 81. Hutton.

Bi`quad*rat"ic, n. (Math.) (a) A biquadrate. (b) A biquadratic equation.

Source: Webster’s Unabridged Dictionary 1913 Edition



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