Nice Math Problems
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Nice Math Problems

How Many Roots?

A clever complex equation from the 2022 IIT JEE

IIT JEE (Advanced) question: In the set of complex numbers, find the number of distinct roots of the equation z̄ − z² = 𝑖 (z̄ + z²).

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



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Russell Lim

I teach high school mathematics in Melbourne, Australia. I like thinking about interesting problems and learning new things.