Bisection Method MCQ

1. Only one of the real roots of f(x) = x⁶ – x – 1 lies in the interval 1 ≤ x ≤ 2 and bisection method is used to find its value. For achieving an accuracy of 0.001, the required minimum number of iterations is (Give the answer up to two decimal places)

1. 11
2. 10
3. 9
4. 7

2. The bisection method is applied to compute a zero of the function f(x) = x⁴ – x³ – x² – 4 in the interval [1,9]. The method converges to a solution after ______________ iterations.

1. 1
2. 3
3. 5
4. 7