Explore: Quartic Equations

mathematics, a quartic equation is one which can be expressed as a quartic function equaling zero. The general form of a quartic equation is a x 4 + b x

degree four, called a quartic polynomial. A quartic equation, or equation of the fourth degree, is an equation that equates a quartic polynomial to zero

algebraic equation (see Root-finding algorithm) and of the common solutions of several multivariate polynomial equations (see System of polynomial equations).

This is a list of equations, by Wikipedia page under appropriate bands of their field. The following equations are named after researchers who discovered

of the following: Quartic function, a polynomial function of degree 4 Quartic equation, a polynomial equation of degree 4 Quartic curve, an algebraic

simple group after the alternating group A5. The quartic was first described in (Klein 1878b). Klein's quartic occurs in many branches of mathematics, in contexts

Solving quintic equations in terms of radicals (nth roots) was a major problem in algebra from the 16th century, when cubic and quartic equations were solved

to solve some equations, including all those of degree four or lower, in the above manner, and why it is not possible for most equations of degree five

also true of quadratic (second-degree) and quartic (fourth-degree) equations, but not for higher-degree equations, by the Abel–Ruffini theorem.) geometrically:

Cardano on his solutions for quartic equations and cubic equations, and was mainly responsible for the solution of quartic equations that Cardano published