Abstract
Relevance of work. Mathematical modulation in various fields of science and technology often leads to nonlinear equations or systems of such equations. Far from always, these equations can be solved by exact methods. More often it is necessary to use approximate methods. One of the most popular of them is Newton's method. In modern works, Newton's method often serves as the basis for the development of new approximate methods that accelerate the convergence of iterative processes or are used to solve systems of large orders. The goal of the work. Visualize the work of the algorithm for solving the equation, as well as the system of equations according to Newton's method, so that the results of this work could be used when compiling electronic textbooks on the study of this method. Another goal is to study the method in the case when the system has several solutions; to study the possibility of using the method for equations with an infinite number of solutions.
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