Root-finding methods are mathematical techniques used to identify the values of a variable that make a function equal to zero. These methods are essential in various fields, including engineering and computer science, where solving equations is necessary. Common root-finding methods include the Bisection Method, Newton's Method, and Secant Method, each with its own advantages and limitations. These methods can be categorized into two main types: iterative and direct methods. Iterative methods, like Newton's Method, refine guesses through repeated calculations, while direct methods, such as the Bisection Method, systematically narrow down the interval containing the root. Understanding these methods is crucial for solving complex equations efficiently.