# How Many Roots?

## A clever complex equation from the 2022 IIT JEE

Every year, hundreds of thousands of aspiring Indian students sit the Indian Institute of Technology Joint Entry Examinations (IIT JEE). This complex number question appeared in the 2022 IIT JEE (Advanced).

Letz̄denote the complex conjugate of a complex number 𝑧 and let 𝑖 = √(−1). In…