გადაწყვიტეთ z^19=(1-i)

$$z ^ { 19 } = ( 1 - i )$$

ამოხსნა z-ისთვის

$$z\in \sqrt[38]{2}e^{\frac{15\pi i}{76}},\sqrt[38]{2}e^{\frac{7\pi i}{76}},\sqrt[38]{2}e^{\frac{23\pi i}{76}},\sqrt[38]{2}e^{\frac{31\pi i}{76}},\sqrt[38]{2}e^{\frac{39\pi i}{76}},\sqrt[38]{2}e^{\frac{47\pi i}{76}},\sqrt[38]{2}e^{\frac{55\pi i}{76}},\sqrt[38]{2}e^{\frac{63\pi i}{76}},\sqrt[38]{2}e^{\frac{71\pi i}{76}},\sqrt[38]{2}e^{\frac{79\pi i}{76}},\sqrt[38]{2}e^{\frac{87\pi i}{76}},2^{\frac{10}{19}}\left(-\frac{1}{2}-\frac{1}{2}i\right),\sqrt[38]{2}e^{\frac{103\pi i}{76}},\sqrt[38]{2}e^{\frac{111\pi i}{76}},\sqrt[38]{2}e^{\frac{119\pi i}{76}},\sqrt[38]{2}e^{\frac{127\pi i}{76}},\sqrt[38]{2}e^{\frac{135\pi i}{76}},\sqrt[38]{2}e^{\frac{143\pi i}{76}},\sqrt[38]{2}e^{\frac{151\pi i}{76}}$$