Why only \(z\)?
Algebra
Level
5
Given \(z\) and \(a_{r}\) are complex numbers with \( \displaystyle \sum_{r=1}^n a_r z^r = 1 \) for \( \mid a_r \mid \leq 2 \).
Find the minimum value of \( \mid z \mid \).
by
Utkarsh Bansal