# A problem by Δημήτριος Χαλάτσης

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*