MathDB
Romania NMO 2022 Grade 10 P2

Source: Romania National Olympiad 2022

April 21, 2022
complex numbersromaniainequalities

Problem Statement

Let z1z_1 and z2z_2 be complex numbers. Prove that ∣z1+z2∣+∣z1−z2∣⩽∣z1∣+∣z2∣+max⁡{∣z1∣,∣z2∣}.|z_1+z_2|+|z_1-z_2|\leqslant |z_1|+|z_2|+\max\{|z_1|,|z_2|\}.Vlad Cerbu and Sorin Rădulescu
Back to ProblemsView on AoPS