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Complex Equation All Real Solutions

1800SpecialistTrigonometryComplex Numbers

Olimpiada Republicană la Matematică

Arătați că toate soluțiile ecuației $\left(\frac{1+i z}{1-i z}\right)^{2019}=\frac{1+\sqrt{3} i}{1-\sqrt{3} i}$ sunt reale și determinați aceste soluții.
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