C

1003118402

Level: 
C
Which of the given complex numbers is not a root of the equation \( x^6 + 8\mathrm{i} = 0 \)?
\( 1-\mathrm{i} \)
\( 1+\mathrm{i} \)
\( -1-\mathrm{i} \)
\( \sqrt2\left(\cos\frac{7\pi}{12}+\mathrm{i}\cdot\sin\frac{7\pi}{12}\right) \)
\( \sqrt2\left(\cos\frac{23\pi}{12}+\mathrm{i}\cdot\sin\frac{23\pi}{12}\right) \)

1003118401

Level: 
C
Find the solution set of the equation \( x^3 - 8\mathrm{i} = 0 \) in the set of complex numbers.
\( \left\{\sqrt3+\mathrm{i}, -\sqrt3+\mathrm{i},-2\mathrm{i} \right\} \)
\( \left\{ 2\mathrm{i}, -\sqrt3-\mathrm{i}, \sqrt3-\mathrm{i} \right\} \)
\( \left\{\frac{\sqrt3}2+\frac12\mathrm{i}, -\frac{\sqrt3}2+\frac12\mathrm{i},-\mathrm{i} \right\} \)
\( \left\{\mathrm{i},-\frac{\sqrt3}2-\frac12\mathrm{i}, \frac{\sqrt3}2-\frac12\mathrm{i} \right\} \)