Vyřešit 0=5/x^10-4x/5

$$0 = \frac{ 5 }{ { x }^{ 10 } } - \frac{ 4x }{ 5 }$$

Vyřešte pro: x (complex solution)

$$x\in \frac{2^{\frac{9}{11}}\times 5^{\frac{2}{11}}e^{\frac{2\pi i}{11}}}{2},\frac{2^{\frac{9}{11}}\times 5^{\frac{2}{11}}}{2},\frac{2^{\frac{9}{11}}\times 5^{\frac{2}{11}}e^{\frac{4\pi i}{11}}}{2},\frac{2^{\frac{9}{11}}\times 5^{\frac{2}{11}}e^{\frac{6\pi i}{11}}}{2},\frac{2^{\frac{9}{11}}\times 5^{\frac{2}{11}}e^{\frac{8\pi i}{11}}}{2},\frac{2^{\frac{9}{11}}\times 5^{\frac{2}{11}}e^{\frac{10\pi i}{11}}}{2},\frac{2^{\frac{9}{11}}\times 5^{\frac{2}{11}}e^{\frac{12\pi i}{11}}}{2},\frac{2^{\frac{9}{11}}\times 5^{\frac{2}{11}}e^{\frac{14\pi i}{11}}}{2},\frac{2^{\frac{9}{11}}\times 5^{\frac{2}{11}}e^{\frac{16\pi i}{11}}}{2},\frac{2^{\frac{9}{11}}\times 5^{\frac{2}{11}}e^{\frac{18\pi i}{11}}}{2},\frac{2^{\frac{9}{11}}\times 5^{\frac{2}{11}}e^{\frac{20\pi i}{11}}}{2}$$

Vyřešte pro: x

$$x = \frac{2 ^ {\frac{9}{11}} \cdot 5 ^ {\frac{2}{11}}}{2} \approx 1,181279668$$