We consider the function f defined for any real z in the interval [-0.5, 0.5], by f(z) = -x³ + 2z+ 0.5. 1. Prove that it exists exactly one root of f(z) = 0 in the interval-0.5, 0.5). 2. How much iterations of the bissection method we need to obtain a precision of 10.

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