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This anthology presents a selection of the fundamental concepts and methods that students of Numerical Methods should master. Although it does not cover all topics, it seeks to illustrate how each method, whether open or closed interval, offers advantages and disadvantages that can lead to the same result. It is important to note that the functions discussed in this text have a higher level of complexity than those studied in high school, so it is necessary to resort to numerical techniques that provide approximate, but as accurate as possible, results in order to make informed decisions.The methods described in the following sections will show various ways to obtain approximate values of the roots of a function, including estimating the percentage error. This will allow students to understand the importance of Numerical Methods in solving complex problems.