olymmath

CGMO 2018 Problem 5

    Let ω∈C\omega \in \mathbb{C} , and ∣ω∣=1\left | \omega \right | = 1 . Find the maximum length of z=(ω+2)3(ω−3)2z = \left( \omega + 2 \right) ^3 \left( \omega - 3 \right)^2 .

    Dataset text AI-MO AoPS. Quoted with source.

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