Question

find square root of 15 by using bisection method​

Answer 1

Answer:

"The Bisection Method for root finding

The Bisection Method for root findingtwo values a and b are chosen for which f(a) > 0 and f(b) < 0 (or the other way around)

The Bisection Method for root findingtwo values a and b are chosen for which f(a) > 0 and f(b) < 0 (or the other way around)interval halving: a midpoint c is calculated as the arithmetic mean between a and b, c = (a + b) / 2.

The Bisection Method for root findingtwo values a and b are chosen for which f(a) > 0 and f(b) < 0 (or the other way around)interval halving: a midpoint c is calculated as the arithmetic mean between a and b, c = (a + b) / 2.the function f is evaluated for the value of c."

Answer 2

Answer:

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.