TITLE:
A New Method for Solving Algebraic Equations
AUTHORS:
Zengyong Liang
KEYWORDS:
Indefinite Equation, High-Order Indefinite Equation, L-Algorithm, Congruences
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.15 No.8,
August
25,
2025
ABSTRACT: High degree algebraic equations are an unsolved problem in algebra. The author has been able to solve high-order algebraic equations using elementary algebraic methods through exploration. This article will introduce new methods for solving algebraic equations, including factorization, collocation, and construction, collectively known as the L-algorithm. At the same time, we discuss the proof of Hilbert’s 10th problem.