Question discussion

The equation f(x) = x³ − x − 2 = 0 has a root in [1, 2]. After one step of the bisection method, in which interval does the root lie?

Correct answer: A

Explanation

f(1.5) = 3.375 − 1.5 − 2 = −0.125 < 0 while f(2) = 4 > 0, so the sign change (and root) lies in [1.5, 2].

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