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quartic equation

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  • Quartic equation — In mathematics, a quartic equation is one which can be expressed as a quartic function equalling zero. The general form of a quartic equation is:ax^4+bx^3+cx^2+dx+e=0 ,where a ne; 0.The quartic is the highest order polynomial equation that can be …   Wikipedia

  • quartic equation — An algebraic equation of the fourth degree, i.e., ax4+bx3+cx2+dx+e=0. Its resolution into a pair of quadratic equations, and hence its solution, depends upon the solution of a subsidiary cubic equation …   Dictionary of automotive terms

  • quartic equation — noun : biquadratic equation …   Useful english dictionary

  • Quartic plane curve — A quartic plane curve is a plane curve of the fourth degree. It can be defined by a quartic equation::Ax^4+By^4+Cx^3y+Dx^2y^2+Exy^3+Fx^3+Gy^3+Hx^2y+Ixy^2+Jx^2+Ky^2+Lxy+Mx+Ny+P=0.This equation has fifteen constants. However, it can be multiplied… …   Wikipedia

  • Quartic function — A quartic function is a function of the form :f(x)=ax^4+bx^3+cx^2+dx+e , with nonzero a ; or in other words, a polynomial function with a degree of four. Such a function is sometimes called a biquadratic function, but the latter term can… …   Wikipedia

  • Quartic — In mathematics and elsewhere, the adjective quartic means fourth order, such as the function x^4. A quartic number is a number which equals the fourth power of an integer.ee also*quartic equation *quartic function …   Wikipedia

  • Equation — This article is about equations in mathematics. For the chemistry term, see chemical equation. The first use of an equals sign, equivalent to 14x+15=71 in modern notation. From The Whetstone of Witte by Robert Recorde (1557). An equation is a… …   Wikipedia

  • quartic — adjective Etymology: Latin quartus fourth Date: 1861 of the fourth degree < quartic equation > • quartic noun …   New Collegiate Dictionary

  • quartic — adj. & n. Math. adj. involving the fourth and no higher power of an unknown quantity or variable. n. a quartic equation. Etymology: L quartus fourth …   Useful english dictionary

  • Quartic — Quar tic, n. (a) (Alg.) A quantic of the fourth degree. See {Quantic}. (b) (Geom.) A curve or surface whose equation is of the fourth degree in the variables. [1913 Webster] …   The Collaborative International Dictionary of English

  • Quartic interaction — In quantum field theory, a quartic interaction is a theory about a scalar field phi; which contains an interaction term phi^4, and is considered by many teachers and students to be the simplest example of interacting fields. This theory consists… …   Wikipedia

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