Definition of Biquadratic equation. Meaning of Biquadratic equation. Synonyms of Biquadratic equation

Here you will find one or more explanations in English for the word Biquadratic equation. Also in the bottom left of the page several parts of wikipedia pages related to the word Biquadratic equation and, of course, Biquadratic equation synonyms and on the right images related to the word Biquadratic equation.

Definition of Biquadratic equation

Biquadratic equation
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.

Meaning of Biquadratic equation from wikipedia

- Q(x)=a_{4}x^{4}+a_{2}x^{2}+a_{0}} is called a biquadratic function; equating it to zero defines a biquadratic equation, which is easy to solve as follows Let...
- This case can always be reduced to a biquadratic equation. Multiplicity-3 (M3): when the general quartic equation can be expressed as a(x−l)3(x−m)=0{\displaystyle...
- Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...
- Orson (1866). New and Easy Method of Solution of the Cubic and Biquadratic Equations: Embracing Several New Formulas, Greatly Simplifying this Department...
- variable provided it is either biquadratic (b = d = 0) or quasi-palindromic (e = a, d = b). Some cubic and quartic equations can be solved using trigonometry...
- 1862) Hamilton, W. R. (1864b). "On the Existence of a Symbolic and Biquadratic Equation, which is satisfied by the Symbol of Linear Operation in Quaternions"...
- the ratio of two polynomials of degree at most two) is often called a biquadratic function. Examples of rational functions The rational function...
- containing two poles and two zeros. "Biquad" is an abbreviation of "biquadratic", which refers to the fact that in the Z domain, its transfer function...
- related books. New and Easy Method of Solution of the Cubic and Biquadratic Equations was published in 1866, and Key to the Universe was published in...
- Quartic or biquadratic reciprocity is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence...