biquadratic

biquadratic
Of a polynomial expression, involving only the second and fourth powers of a variable, as x + 3x + 2. Sometimes extended to any expression involving the fourth power of variable (but no higher powers), as x − 4x + 3x − x + 1.
See Also: quadratic, quartic

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  • Biquadratic — Bi quad*rat ic, a. [Pref. bi + quadratic: cf. F. biquadratique.] (Math.) Of or pertaining to the biquadrate, or fourth power. [1913 Webster] {Biquadratic equation} (Alg.), an equation of the fourth degree, or an equation in some term of which the …   The Collaborative International Dictionary of English

  • Biquadratic — Bi quad*rat ic, n. (Math.) (a) A biquadrate. (b) A biquadratic equation. [1913 Webster] …   The Collaborative International Dictionary of English

  • biquadratic — [bī΄kwäd rat′ik] adj. Math. of or involving the fourth power of a quantity n. 1. such a quantity 2. an algebraic equation of the fourth power; quartic equation …   English World dictionary

  • biquadratic — I noun 1. an algebraic equation of the fourth degree • Syn: ↑biquadrate, ↑quartic, ↑fourth power • Derivationally related forms: ↑biquadratic (for: ↑biquadrate) …   Useful english dictionary

  • Biquadratic equation — Biquadratic Bi quad*rat ic, a. [Pref. bi + quadratic: cf. F. biquadratique.] (Math.) Of or pertaining to the biquadrate, or fourth power. [1913 Webster] {Biquadratic equation} (Alg.), an equation of the fourth degree, or an equation in some term… …   The Collaborative International Dictionary of English

  • Biquadratic root of a number — Biquadratic Bi quad*rat ic, a. [Pref. bi + quadratic: cf. F. biquadratique.] (Math.) Of or pertaining to the biquadrate, or fourth power. [1913 Webster] {Biquadratic equation} (Alg.), an equation of the fourth degree, or an equation in some term… …   The Collaborative International Dictionary of English

  • biquadratic root — noun The square root of the square root • • • Main Entry: ↑biquadratic …   Useful english dictionary

  • biquadratic equation — noun an equation of the fourth degree • Syn: ↑biquadratic • Derivationally related forms: ↑biquadratic (for: ↑biquadratic) • Hypernyms: ↑equation * * * …   Useful english dictionary

  • Biquadratic field — In mathematics, a biquadratic field is a number field K of a particular kind, which is a Galois extension of the rational number field Q with Galois group the Klein four group. Such fields are all obtained by adjoining two square roots. Therefore …   Wikipedia

  • biquadratic polynomial — noun a polynomial of the fourth degree • Syn: ↑biquadratic, ↑quartic polynomial • Derivationally related forms: ↑biquadratic (for: ↑biquadratic) • Hypernyms: ↑ …   Useful english dictionary

  • biquadratic — adjective or noun Date: 1668 quartic …   New Collegiate Dictionary

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