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Mathematician solves algebra's oldest problem using intriguing number sequences

Published on: 2025-07-28 19:52:50

The Gist Editors' notes Mathematician solves algebra's oldest problem using intriguing new number sequences by University of New South Wales Norman Wildberger at his laptop. Credit: UNSW Sydney × close Norman Wildberger at his laptop. Credit: UNSW Sydney A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such as the degree two polynomial: 1 + 4x – 3x2 = 0. The equations are fundamental to math as well as science, where they have broad applications, like helping describe the movement of planets or writing computer programs. However, a general method for solving "higher order" polynomial equations, where x is raised to the power of five or higher, has historically proven elusive. Now, UNSW Honorary Professor Norman Wildberger has revealed a new approach using novel number sequences, outlined in The American Mathematical Monthly journal, w ... Read full article.