
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 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 …
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 …
Factorization of quartic polynomial. - Mathematics Stack Exchange
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.
Roots of a Quartic (Vieta's Formulas) - Mathematics Stack Exchange
Apr 19, 2016 · Roots of a Quartic (Vieta's Formulas) Ask Question Asked 9 years, 6 months ago Modified 9 years, 6 months ago
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...
How to count the real roots of a quartic equation?
Jul 13, 2015 · I would hope there is a compact/efficient method to count the real roots of a real quartic equation, similar to the way the discriminant of a quadratic polynomial tells us the …
Solving quartic equations - Mathematics Stack Exchange
Sep 15, 2015 · Solving the linear, quadratic, cubic and quartic equations (how to reconstruct the solution for them - step by step, for easy memorization): We make use of the following …
Explaining the nature of complex roots of a quartic
Aug 20, 2024 · Then stating that since each quadratic can have either two real roots or a complex conjugate pair, the possibilities for the quartic are: Four real roots One complex conjugate pair …
Help finding turning points to plot quartic and cubic functions
Mar 2, 2015 · Help finding turning points to plot quartic and cubic functions Ask Question Asked 10 years, 8 months ago Modified 10 years, 8 months ago