Časť:
Project ID:
9000034306
Accepted:
1
Clonable:
0
Easy:
0
Vyriešte nasledujúcu rovnicu v množine komplexných čísel.
\[
x^{6} - 64 = 0
\]
\(x_{1, 2} =\pm 2,\ x_{3, 4} = 1\pm \mathrm{i}\sqrt{3},\ x_{5, 6} = -1\pm \mathrm{i}\sqrt{3}\)
\(x_{1, 2} =\pm 2,\ x_{3, 4} = \frac{1}
{2}\pm \mathrm{i}\frac{\sqrt{3}}
{2} ,\ x_{5, 6} = -\frac{1}
{2}\pm \mathrm{i}\frac{\sqrt{3}}
{2} \)
\(x_{1, 2} =\pm 4,\ x_{3, 4} = 1\pm \mathrm{i}\sqrt{3},\ x_{5, 6} = -1\pm \mathrm{i}\sqrt{3}\)
\(x_{1, 2} =\pm 8,\ x_{3, 4} = 2\pm 2\mathrm{i}\sqrt{3},\ x_{5, 6} = -2\pm 2\mathrm{i}\sqrt{3}\)