quintic equation

quintic equation
An algebraic equation of the fifth degree. Unlike like equations of lower degree, its general solution (and that of equations of higher degree) cannot be expressed in terms of a finite number of root extractions.

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  • Quintic equation — In mathematics, a quintic equation is a polynomial equation of degree five. It is of the form::ax^5+bx^4+cx^3+dx^2+ex+f=0, where a e 0.(if a = 0, then the equation becomes a quartic equation). (if a and b = 0, then the equation becomes a cubic… …   Wikipedia

  • Quintic equation — Eine Gleichung fünften Grades oder quintische Gleichung ist in der Mathematik ein Polynom vom Grad fünf. Es ist von der Form ax5 + bx4 + cx3 + dx2 + ex + f = 0, wobei die Koeffizienten a,b,c,d,e und f Elemente eines Körpers (typischerweise die… …   Deutsch Wikipedia

  • Equation quintique — Équation quintique En mathématiques, une équation quintique est une équation polynôme dans laquelle le plus grand exposant de l inconnue est 5. Elle est de forme générale : où a, b, c, d, e, et f appartiennent à un corps (habituellement les… …   Wikipédia en Français

  • Équation quintique — En mathématiques, une équation quintique est une équation polynôme dans laquelle le plus grand exposant de l inconnue est 5. Elle est de forme générale : où a, b, c, d, e, et f appartiennent à un corps commutatif (habituellement les nombres… …   Wikipédia en Français

  • 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

  • quintic — I. ˈkwintik adjective Etymology: quint + ic 1. : of the fifth degree 2. : having five links a quintic chain II. noun ( s) : a polynomial or polynomial eq …   Useful english dictionary

  • quintic — I. adjective Etymology: Latin quintus fifth Date: 1853 of the fifth degree II. noun Date: 1856 a polynomial or a polynomial equation of the fifth degree …   New Collegiate Dictionary

  • quintic — /kwin tik/, Math. adj. 1. of the fifth degree. n. 2. a quantity of the fifth degree. 3. an equation of the fifth degree. [1850 55; < L quint(us) FIFTH + IC] * * * …   Universalium

  • Quadratic equation — This article is about quadratic equations and solutions. For more general information about quadratic functions, see Quadratic function. For more information about quadratic polynomials, see Quadratic polynomial. In mathematics, a quadratic… …   Wikipedia

  • 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

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