In algebra, a cubic equation in one variable is an equation of the form a x 3 + b x 2 + c x + d = 0 {\displaystyle ax^{3}+bx^{2}+cx+d=0} in which a is...

Cubic equations of state are a specific class of thermodynamic models for modeling the pressure of a gas as a function of temperature and density and...

domain is restricted to the real numbers. Setting f(x) = 0 produces a cubic equation of the form a x 3 + b x 2 + c x + d = 0 , {\displaystyle ax^{3}+bx^{2}+cx+d=0...

quintic and higher-order equations, beyond trivial or special cases. Linear equation Quadratic equation Cubic equation Quintic equation Polynomial Newton's...

finding Linear equation (degree = 1) Quadratic equation (degree = 2) Cubic equation (degree = 3) Quartic equation (degree = 4) Quintic equation (degree = 5)...

is most notable for his work on the classification and solution of cubic equations, where he provided a geometric formulation based on the intersection...

In mathematics, a cubic plane curve is a plane algebraic curve C defined by a cubic equation ⁠ F ( x , y , z ) = 0 {\displaystyle F(x,y,z)=0} ⁠ applied...

quadratic equations with positive roots, and many cubic equations, although it is not known if they were able to reduce the general cubic equation. Ancient...

whose roots are also roots of the original polynomial. The general cubic equation a x 3 + b x 2 + c x + d = 0 {\displaystyle ax^{3}+bx^{2}+cx+d=0} with...

found several solutions of the cubic equation. Omar Khayyam found the general geometric solution of a cubic equation.[citation needed] Omar Khayyam (c...

study of equations of state, and was the starting point of cubic equations of state, which most famously continued via the Redlich–Kwong equation of state...

mathematician who first discovered a method to solve the depressed cubic equation. Scipione del Ferro was born in Bologna, in northern Italy, to Floriano...

2 + k 2 x + k 3 {\displaystyle y(x)=k_{1}x^{2}+k_{2}x+k_{3}} for a cubic equation of degree n = 3 {\displaystyle n=3} , f ( x ) = x 3 + a 2 x 2 + a 1...

possible except for the depressed equation y4 = 0. Now, if m is a root of the cubic equation such that m ≠ 0, equation (1) becomes ( y 2 + p 2 + m ) 2 =...

where all vertices have degree 3 Cubic plane curve (mathematics), a plane algebraic curve C defined by a cubic equation Cubic reciprocity (mathematics - number...

Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...

and Joseph Neng Shun Kwong in 1949. It showed that a two-parameter, cubic equation of state could well reflect reality in many situations, standing alongside...

of a cubic equation, as he had neither complex numbers at his disposal, nor the algebraic notation to be able to describe a general cubic equation. With...

The Koide formula is an unexplained empirical equation discovered by Yoshio Koide in 1981. In its original form, it is not fully empirical but a set of...

the cubic equations by promising not to publish them. Tartaglia divulged the secrets of the solutions of three different forms of the cubic equation in...

_{r}+c\rho _{r}^{2}+f\rho _{r}^{5}} The three-term virial equation or a cubic virial equation of state Z = 1 + B ρ + C ρ 2 {\displaystyle Z=1+B\rho +C\rho...

yd3/min cubic foot cubic inch Square yard Orders of magnitude (volume) Conversion of units Cube (arithmetic), cube root Cubic equation, cubic function...

Nested radicals appear in the algebraic solution of the cubic equation. Any cubic equation can be written in simplified form without a quadratic term...

linear equation for degree one quadratic equation for degree two cubic equation for degree three quartic equation for degree four quintic equation for degree...

cubic roots for nonzero complex numbers. Rafael Bombelli was the first to address explicitly these seemingly paradoxical solutions of cubic equations...

BCE and commented on by Liu Hui in the 3rd century CE. Cabtaxi number Cubic equation Doubling the cube Eighth power Euler's sum of powers conjecture Fifth...

theory. Solving quadratic equations with continued fractions Linear equation Cubic function Quartic equation Quintic equation Fundamental theorem of algebra...

discovered the derivative of cubic polynomials and realized its significance for investigating conditions under which cubic equations were solvable; however...

Cayley's sextic Cubic function Septic equation Mathworld - Sextic Equation T. R. Hagedorn, General formulas for solving solvable sextic equations, J. Algebra...

In mathematics, a Diophantine equation is an equation, typically a polynomial equation in two or more unknowns with integer coefficients, for which only...