RO-NMO 2009 Problem 102

Let be a real number $a\in \left[ 2+\sqrt 2,4 \right] .$ Find $\inf_{\stackrel{z\in\mathbb{C}}{|z|\le 1}} \left| z^2-az+a \right| .$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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