# A problem by Δημήτριος Χαλάτσης

Level pending

Suppose three complex numbers $$α_{0},α_{1},α_{2}$$ such that

(α-2)($$\overline{α}$$-2)+|α-2|=2. Also suppose the complex number u such that $$u^{3}$$+$$α_{2}u^{2}$$+$$α_{1}u$$+$$α_{0}$$=0 . Find the smallest integer n : |u|<n

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