1. Only one of the real roots of f(x) = x^{6} – 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)

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2. The bisection method is applied to compute a zero of the function f(x) = x^{4} – x^{3} – x^{2} – 4 in the interval [1,9]. The method converges to a solution after ______________ iterations.

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