ANALYSIS OF FINDING A SOLUTION TO MODULAR EQUATIONS WHEN THE EQUATION CONTAINS TWO OR MORE MODULES

Abstract

The article dedicated to finding a solution to a modular equation, in cases where the equation contains two or more modules. The subject of the research is getting answers to modular equations in intervals and its further analysis. Three methods of solution are considered: standard (by the definition of the module), the method of intervals and visualization of the solution in Mathcad. The standard method is based on the construction of 2ⁿ systems of inequalities, where the number n is determined by the number of modules. The method of intervals is a more simplified form of finding a solution to a modular equation, since we have to solve n+1 equations. In the third method of determining the solution, the mathematical package MathCad was used, i.e. its graphical capabilities. According to the plotted graph, it will be possible to read the solution of the modular equation without resorting to its analytical solution. The use of this material will be useful for teachers and students of universities and colleges, teachers of mathematics of secondary schools, as well as for students preparing for admission to universities, through the Republican testing Kyrgyzstan, the Unified National Testing Kazakhstan, Uzbekistan, the Unified State Exam Russia, Scholastic Assessment Test USA and other foreign countries.