9000034309
Level:
C
Find the angle \(\varphi \)
such that the angles in the polar form of any two solutions of the equation
\[
x^{5} - 1 + \mathrm{i}\sqrt{3} = 0
\]
differ by an integer multiple of \(\varphi \).
\(\varphi = \frac{2}
{5}\pi \)
\(\varphi = \frac{3}
{5}\pi \)
\(\varphi = \frac{4}
{5}\pi \)
\(\varphi =\pi \)