Question

using bisection method find the root of an equation x^(3)-5x-6 upto 3 decimal places

Answer 1

Answer:

Bisection Method Algorithm

Follow the below procedure to get the solution for the continuous function:

For any continuous function f(x),

Find two points, say a and b such that a < b and f(a)* f(b) < 0

Find the midpoint of a and b, say “t”

t is the root of the given function if f(t) = 0; else follow the next step

Divide the interval [a, b]

If f(t)*f(b) <0, let a = t

Else if f(t) *f(a), let b = t

Repeat above three steps until f(t) = 0.