Definitions
from The American Heritage® Dictionary of the English Language, 4th Edition
 adj. Of or relating to the fourth degree.
 n. An algebraic equation of the fourth degree.
from Wiktionary, Creative Commons Attribution/ShareAlike License
 adj. Of a polynomial expression, involving only the second and fourth powers of a variable, as x4 + 3x2 + 2. Sometimes extended to any expression involving the fourth power of variable (but no higher powers), as x4 − 4x3 + 3x2 − x + 1.
 n. A biquadratic equation.
from the GNU version of the Collaborative International Dictionary of English
 adj. Of or pertaining to the biquadrate, or fourth power.
 n. A biquadrate.
 n. A biquadratic equation.
from The Century Dictionary and Cyclopedia
 Containing or referring to a fourth power, or the square of a square; quartic.
 n. In mathematics, the fourth power, arising from the multiplication of a square number or quantity by itself.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 n. an equation of the fourth degree
 adj. of or relating to the fourth power
 n. an algebraic equation of the fourth degree
 n. a polynomial of the fourth degree
Etymologies
Examples

He however extended and developed it, and after his pupil Ferrari had discovered the solution of the biquadratic equation by means of the cubic, he felt justified in publishing it.

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

[534] Thomas Baker (c. 16251689) gave a geometric solution of the biquadratic in his _Geometrical Key, or Gate of Equations unlocked_ (1684).

Modern, SixteenthCentury attention to this ancient matter, as by Cardano and his followers, introduced the modern issues of cubic and biquadratic algebraic functions in an attempted algebraic form.

However, the EighteenthCentury defenders of the incompetence of both Descartes and Newton, such as de Moivre, D'Alembert, Euler, and Lagrange, claimed to have proven their case against Leibniz, by simply accepting de Moivre's proposal that they agree to denounce what they termed, fraudulently, as "imaginary" roots of the relevant cubic and biquadratic functions.

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The different positions of FH are determined, by the roots of a biquadratic equation.
Outlines of Natural Philosophy: Being Heads of Lectures Delivered in the University of Edinburgh

Or if you want to find the roots of the biquadratic without taking away the fccond term 1 fuppofe it to be of this fornix and the values of x will be

After the fame manner you may find like Theorems for the roots of biquadratic equa  tions, or of equations of any dimcnfion whatever.

'Thus any cubic equation may be conceived as generated by the multiplication of/i&r« fimple equations, or of one quadratic and one fimple equafion« A biquadratic as generated by the ilitikiplication of four Jimple equations, or of two quadratic equations \ or ladly) of one cubic and one Jimpk equation ..' '
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