9000039110
Level:
C
Assuming \(z\in \mathbb{C}\),
solve the following equation.
\[
\left (1 + \mathrm{i}\sqrt{3}\right )z = 1 -\mathrm{i}\sqrt{3}
\]
\(z = -\frac{1}
{2} -\frac{\sqrt{3}}
{2} \mathrm{i}\)
\(z = \frac{\sqrt{3}}
{2} + \frac{1}
{2}\mathrm{i}\)
\(z = -\frac{1}
{2} + \frac{\sqrt{3}}
{2} \mathrm{i}\)
\(z = -\frac{\sqrt{3}}
{2} + \frac{1}
{2}\mathrm{i}\)