x^14=2900 шешу

$$x ^ { 14 } = 2900$$

x мәнін табыңыз (complex solution)

$$x\in \sqrt[14]{2900}e^{\frac{\pi i}{7}},\sqrt[14]{2900},\sqrt[14]{2900}e^{\frac{2\pi i}{7}},\sqrt[14]{2900}e^{\frac{3\pi i}{7}},\sqrt[14]{2900}e^{\frac{4\pi i}{7}},\sqrt[14]{2900}e^{\frac{5\pi i}{7}},\sqrt[14]{2900}e^{\frac{6\pi i}{7}},-\sqrt[14]{2900},\sqrt[14]{2900}e^{\frac{8\pi i}{7}},\sqrt[14]{2900}e^{\frac{9\pi i}{7}},\sqrt[14]{2900}e^{\frac{10\pi i}{7}},\sqrt[14]{2900}e^{\frac{11\pi i}{7}},\sqrt[14]{2900}e^{\frac{12\pi i}{7}},\sqrt[14]{2900}e^{\frac{13\pi i}{7}}$$

x мәнін табыңыз

$$x=\sqrt[7]{10}\sqrt[14]{29}\approx 1.767315729$$

$$x=-\sqrt[7]{10}\sqrt[14]{29}\approx -1.767315729$$