The document discusses methods for finding the roots of equations, beginning with an introduction to the importance of determining roots. It then describes the bisection method and the false position method. The bisection method involves repeatedly bisecting an interval and determining if the root is in the upper or lower half. The false position method approximates the function with a straight line through two points and finds where it intersects the x-axis. An example is shown applying both methods to find the root of f(x) = x^3 - x - 1.