How 9 Cheenta students ranked in top 100 in ISI and CMI Entrances?

# CMI 2019 Problem | Solving Complex Inequality using Geometry

Let's discuss a problem from CMI Entrance Exam 2019 Problem that helps us to learn how to solve complex inequality problems using Geometry.

The Problem:

Count the number of roots $w$ of the equation $z^{2019} − 1 = 0$ over complex numbers that satisfy $|w + 1| ≥ 2 + √2$.

The Solution: