The same thing happens with the Pythagorean theorem, where in school, most examples end up solving out to Pythagorean triples, the small set of integer values that work cleanly into the Pythagorean ...

A procedure is introduced for solving systems of polynomial equations that need to be solved repetitively with varying coefficients. The procedure is based on the cheater's homotopy, a continuation ...

The nature and co-ordinates of roots can be determined using the discriminant and solving polynomials as part of Bitesize Higher Maths ...

Polynomial equations have long served as a cornerstone of mathematical analysis, offering a framework to understand functions, curves, and dynamic systems. In recent years, the study of these ...

Researchers have found a new way to solve high-degree polynomial equations, previously thought impossible for 200 years. This math breakthrough reopens algebra.

This paper introduces new mixed formulations and discretizations for mth-Laplace equations of the form (-1)m ∆mu = f for arbitrary m = 1,2,3,... based on novel Helmholtztype decompositions for ...

In a boon to algebra students everywhere, a professor at Carnegie Mellon University has devised a simpler and more efficient way to solve problems involving the quadratic equation.

Mathematicians have devised a new way to solve higher-order polynomial equations, ushering in a 'dramatic revision of a basic chapter in algebra'.

Mahesh Ramesh Kakde, winner of this year’s Vigyan Yuva Shanti Swarup Bhatnagar award for Mathematics, is a number theorist at the Indian Institute of Science, Bengaluru, who studies polynomial ...

A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. Here's the secret.