
Quartic Equation Solution and Conditions for real roots?
8 Q1. How to solve a Quartic Equation. There is an online calculator available (and many more similar) that gives the precise answers and also defines the method. Does anyone know what the source of …
Types of polynomial functions. Quadratic, cubic, quartic, quintic,
16 While they do start getting awkward quickly, the next few ordinals are fairly well-defined, largely because of their occasional usage in solving cubic and quartic equations and in defining algebraic …
How do I find the roots of a quartic, without guessing?
Remark: There is a formula for the roots of a general quartic, due originally to Ferrari. A number of other mathematicians, including Descartes, produced variants.
geometry - On the automorphisms of the Klein Quartic - Mathematics ...
On the automorphisms of the Klein Quartic Ask Question Asked 12 years, 4 months ago Modified 4 years, 5 months ago
General formula for solving quartic (degree $4$) equations
Jul 28, 2010 · 149 There is, in fact, a general formula for solving quartic (4th degree polynomial) equations. As the cubic formula is significantly more complex than the quadratic formula, the quartic …
Discriminant of the cube, quartic... - Mathematics Stack Exchange
I was told the discriminant of the cubic is $$\\Delta=-27q^2-4p^3$$ and that $\\Delta>0$ means that there are three real roots. Simply put, why is this the discriminant? I ask this because, look...
What are equations with a degree more than 3 called?
3 Fourth degree is called quartic. Fifth quintic. Sixth sextic, and so on via latin. However I think must people who would use "dodecic equation" rather than "12th degree polynomial" would be derided as …
abstract algebra - Clarifications regarding Lagrange resolvent ...
I'm trying to understand the technique used by Lagrange to solve cubic and quartic equations. I have read that the Lagrange resolvent for the cubic is $$ x_1+\\omega x_2+ \\omega^2 x_3 $$ where $\\o...
abstract algebra - How can I find the roots of a quartic equation ...
How can I find the roots of a quartic equation, knowing one of its roots? Ask Question Asked 11 years, 5 months ago Modified 11 years, 5 months ago
Factorization of quartic polynomial. - Mathematics Stack Exchange
Jan 3, 2017 · A quartic is never irreducible over real polynomials. It always has at least one factorization into two quadratic factors. Finding those factors is the tricky part.