ОСОБЕННОСТЬ И РОЛЬ СИММЕТРИЧЕСКИХ УРАВНЕНИЙ В ШКОЛЬНОМ КУРСЕ МАТЕМАТИКИ

Abstract

The article is devoted to the definition of the role of systems symmetric equations to the school course of mathematics. The problems of introducing the concept of symmetric systems are considered, definitions and theorems are given,and various examples are solved on the basis of this theory. When selecting examples of solving symmetric equations and systems, their distinctive features, the logic of reasoning, and the solution algorithm were taken into account. Attention is focused on the fact that systems of equations are reduced to symmetric systems and their roots are determined by the appropriate algorithms, and the purpose of studying this concept is indicated. In conclusion, a recommendation for practical application in the process of solving symmetric equations and the role and significance of symmetric equations are indicated.