Question

1. The bisection method of finding roots of nonlinear equations falls under the category of a (an) _________ method.
(A) open (B) bracketing (C) random (D) graphical ​

Answer 1

Answer:

Option(b) Bracketing

is the correct answer.

Answer 2

Given:

The bisection method of finding roots of nonlinear equations falls under the category of a (an) _________ method.

Solution:

The bisection method is a bracketing method since it is based on finding the root between two  guesses that bracket the root, that is, where the real continuous function $\[f\left( x \right)\]$ in the equation  $\[f\left( x \right) = 0\]$ changes sign between the two guesses.

Hence The bisection method of finding roots of nonlinear equations falls under the category of a (an) bracketing method.