The Brent's Algorithm, Also Known as Brent's Method (or The Van Wijngaarden-Dekker-Brent method), is a Hybrid Root-Finding Algorithm used in Numerical Analysis. It is Designed to Find a Root (or Zero) of a Function, f(x), Within a Given Interval [a, b], Where the Function is Known to Change Sign, i.e., f(a)f(b) < 0.