Level:
Project ID:
9000034303
Source Problem:
Accepted:
1
Clonable:
1
Easy:
0
Find the solution set of the following equation in the set of complex numbers.
\[
x^{3} + \mathrm{i} = 0
\]
\(\{\mathrm{i},\ \frac{\sqrt{3}}
{2} -\frac{1}
{2}\mathrm{i},\ -\frac{\sqrt{3}}
{2} -\frac{1}
{2}\mathrm{i}\}\)
\(\{ - 1,\ -\frac{\sqrt{3}}
{2} + \frac{1}
{2}\mathrm{i},\ -\frac{\sqrt{3}}
{2} -\frac{1}
{2}\mathrm{i}\}\)
\(\{ - 1,\ \frac{\sqrt{3}}
{2} -\frac{1}
{2}\mathrm{i},\ -\frac{\sqrt{3}}
{2} -\frac{1}
{2}\mathrm{i}\}\)
\(\{\mathrm{i},\ -\frac{\sqrt{3}}
{2} + \frac{1}
{2}\mathrm{i},\ -\frac{\sqrt{3}}
{2} -\frac{1}
{2}\mathrm{i}\}\)