Web Reference: Oct 5, 2023 · What is the bisection method, and what is it based on? One of the first numerical methods developed to find the root of a nonlinear equation \ (f (x) = 0\) was the bisection method (also called the binary-search method). The procedure is based on the following theorem. The Bisection Method approximates the root of an equation on an interval by repeatedly halving the interval. The Bisection Method operates under the conditions necessary for the Intermediate Value Theorem to hold. Suppose f ∈ C[a, b] and f(a) f(b) < 0, then there exists p ∈ (a, b) such that f(p) = 0. Find a root of an equation `f (x)=x^3-x-1` using Bisection method. This material is intended as a summary. Use your textbook for detail explanation. 2. Example-2 `f (x)=2x^3-2x-5` Share this solution or page with your friends.
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