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The Collaborative International Dictionary
Biquadratic

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

Biquadratic

Biquadratic \Bi`quad*rat"ic\, n. (Math.)

  1. A biquadrate.

  2. A biquadratic equation.

Wiktionary
biquadratic

a. (context mathematics English) Of a polynomial expression, involving only the second and fourth powers of a variable, as ''x''4 + 3''x''2 + 2. Sometimes extended to any expression involving the biquadrate or fourth power (but no higher powers), as ''x''4 − 4''x''3 + 3''x''2 − ''x'' +

  1. n. (context mathematics English) A biquadratic equation.

WordNet
biquadratic

adj. of or relating to the fourth power

biquadratic
  1. n. an algebraic equation of the fourth degree [syn: biquadrate, quartic, fourth power]

  2. an equation of the fourth degree [syn: biquadratic equation]

  3. a polynomial of the fourth degree [syn: biquadratic polynomial, quartic polynomial]

Usage examples of "biquadratic".

It was all very much like being faced by an algebraic problem containing many unknown quantities and having only one biquadratic equation with which to solve it.

The solution of cubic and of biquadratic equations, at first only in certain particular forms, but later in all forms, was mastered by Tartaglia and Cardan.