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...
- \!} and thus is a biquadratic equation, which is easy to solve: let z = x 2 {\displaystyle z=x^{2}} , so our equation turns to a 0 z 2 + a 2 z...
- Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...
- equation by a change of variable provided it is either biquadratic (b = d = 0) or quasi-palindromic (e = a, d = b). Some cubic and quartic equations can...
- Orson (1866). New and Easy Method of Solution of the Cubic and Biquadratic Equations: Embracing Several New Formulas, Greatly Simplifying this Department...
- 1565) was an Italian mathematician best known today for solving the biquadratic equation. Born in Bologna, Lodovico's grandfather, Bartolomeo Ferrari, was...
- 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 f ( x...
- Quartic or biquadratic reciprocity is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence...
- 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...