Question 47
Show that all solutions of the equation $\left(\frac{1+i z}{1-i z}\right)^{2019}=\frac{1+\sqrt{3} i}{1-\sqrt{3} i}$ are real and determine these solutions.
MathNet 2019-part-04 — 184 problems (EN–VI) Question 47
Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)