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

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

speed of convergence. Cubic equations, which are polynomial equations of the third degree (meaning the highest power of the unknown is 3) can always be...

1998) Fourth-degree equations, which contain a fourth degree (but no higher) polynomial are, by the Abel–Ruffini theorem, the highest degree equations having...

differential equations, while many numerical methods have been developed to determine solutions with a given degree of accuracy. Differential equations came into...

In mathematics, a quadratic equation (from Latin quadratus 'square') is an equation that can be rearranged in standard form as a x 2 + b x + c = 0 , {\displaystyle...

linear Diophantine equation equates to a constant the sum of two or more monomials, each of degree one. An exponential Diophantine equation is one in which...

inscribing an equilateral pentagon into a square, resulting in a fourth degree equation. He also wrote a treatise on the "perfect compass", a compass with...

polynomial function of degree 4 Quartic equation, a polynomial equation of degree 4 Quartic curve, an algebraic curve of degree 4 Quartic reciprocity,...

The Navier–Stokes equations (/nævˈjeɪ stoʊks/ nav-YAY STOHKS) are partial differential equations which describe the motion of viscous fluid substances...

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 3 +...

The Anti-Life Equation is a fictional concept appearing in American comic books published by DC Comics. In Jack Kirby's Fourth World setting, the Anti-Life...

general polynomial equations of degree five or higher with arbitrary coefficients. Here, general means that the coefficients of the equation are viewed and...

In mathematics, in the theory of ordinary differential equations in the complex plane C {\displaystyle \mathbb {C} } , the points of C {\displaystyle...

geometric solution of cubic equations was further investigated by M. Hachtroudi and extended to solving fourth-degree equations. Although similar methods...

quadratic equation. Other ways of solving quadratic equations, such as completing the square, yield the same solutions. Given a general quadratic equation of...

degree higher than one or in the argument of a function which is not a polynomial of degree one. In other words, in a nonlinear system of equations,...

In physics and chemistry, an equation of state is a thermodynamic equation relating state variables, which describe the state of matter under a given...

[(n + 1)(n + 2) / 2] − 1 = n(n + 3) / 2 remaining coefficients. For example, a fourth degree equation has the general form x 4 + c 1 x 3 y + c 2 x 2 y 2 + c 3 x y 3 +...

Recognition and Correction of Equations", Viete improved the solution of the third-degree and fourth-degree equations, and also established the relationship...