Only one of the real roots of f(x) =x6 -x -1 lies in th

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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 _________.

[GATE EE 2017 Set 1]

A 10