• 📙Bisection Method

     Why the Bisection Method?

    In many scientific and engineering problems, we often seek a solution x such that f(x) = 0, where f is a continuous function. However, it often happens that this equation has no explicit solution, or it is difficult—or even impossible—to isolate it analytically.

    For example, one may want to solve:
    cos(x) = x     or     x³ + x − 1 = 0

    These equations cannot be solved using classical algebraic methods.

    This is where the bisection method comes in: a simple yet effective technique that allows us to approximate a solution with arbitrary precision, provided that ...