cmi-entrance 2024 QB5

cmi-entrance · India · ugmath 15 marks Complex Numbers Arithmetic Solving Equations for Unknown Complex Numbers

(a) Find all complex solutions of $z^6 = z + \bar{z}$.
(b) For an integer $n > 1$, how many complex solutions does $z^n = z + \bar{z}$ have?

(a) Find all complex solutions of $z^6 = z + \bar{z}$.

(b) For an integer $n > 1$, how many complex solutions does $z^n = z + \bar{z}$ have?