Math. of or involving the fourth power of a quantity

- such a quantity
- an algebraic equation of the fourth power; quartic equation

Math. of or involving the fourth power of a quantity

- such a quantity
- an algebraic equation of the fourth power; quartic equation

Webster's New World College Dictionary, Fifth Edition Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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"Biquadratic." *YourDictionary*. LoveToKnow. www.yourdictionary.com/biquadratic.

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Biquadratic. (n.d.). In *YourDictionary*. Retrieved from https://www.yourdictionary.com/biquadratic

*Mathematics*

adjective

Of or relating to the fourth degree.

noun

An algebraic equation of the fourth degree.

THE AMERICAN HERITAGE® DICTIONARY OF THE ENGLISH LANGUAGE, FIFTH EDITION by the Editors of the American Heritage Dictionaries. Copyright © 2016, 2011 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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**MLA Style**

"Biquadratic." *YourDictionary*. LoveToKnow. www.yourdictionary.com/biquadratic.

**APA Style**

Biquadratic. (n.d.). In *YourDictionary*. Retrieved from https://www.yourdictionary.com/biquadratic

Adjective

(*not comparable*)

- (mathematics) 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.

Origin

*bi-* + *quadratic*

English Wiktionary. Available under CC-BY-SA license.

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**MLA Style**

"Biquadratic." *YourDictionary*. LoveToKnow. www.yourdictionary.com/biquadratic.

**APA Style**

Biquadratic. (n.d.). In *YourDictionary*. Retrieved from https://www.yourdictionary.com/biquadratic

- In the geometry of plane curves, the term parabola is often used to denote the curves given by the general equation a' n x n = ym+n, thus ax= y 2 is the quadratic or Apollonian parabola; a 2 x = y 3 is the cubic parabola, a 3 x = y4 is the
**biquadratic**parabola; semi parabolas have the general equation ax n-1 = yn, thus ax e = y 3 is the semicubical parabola and ax 3 = y 4 the semibiquadratic parabola. - Running through these volumes in order, we have in the second the memoir, Summatio quarundam serierum singularium, the memoirs on the theory of
**biquadratic**residues, in which the notion of complex numbers of the form a--bi was first introduced into the theory of numbers; and included in the Nachlass are some valuable tables. - He was professor of mathematics in the university of Deseret and wrote several books on this subject, these including Cubic and
**Biquadratic**Equations (1866). - This concept is extended to algebra: since a line, surface and solid are represented by linear, quadratic and cubic equations, and are of one, two and three dimensions; a
**biquadratic**equation has its highest terms of four dimensions, and, in general, an equation in any number of variables which has the greatest sum of the indices of any term equal to n is said to have n dimensions.

- biquadratic
- biquadratically
- biquadratics
- biquarterly