Key words: nonlinear equations, chord method, function, derivative, root of the equation, error, initial approximation, root of the equation, discontinuous function.
Summary
In many fields of mathematics and applied sciences, there are equations whose roots are impossible to find exactly. Such equations are called nonlinear equations, and their solution is often carried out not by simple mathematical methods but by approximate ones. Nonlinear equations are widely used in various fields of mathematics, physics, engineering, economics, and computer science. For example, nonlinear dependencies play a key role in modeling the laws of motion, electric fields, heat balance, and other natural processes.