B

9000031210

Časť: 
B
Sú dané komplexné čísla \(z_{1} = 2\sqrt{3}\left (\cos \frac{\pi }{6} + \mathrm{i}\sin \frac{\pi }{6}\right )\) a \(z_{2} = \sqrt{3}\left (\cos \frac{4\pi } {3} + \mathrm{i}\sin \frac{4\pi } {3}\right )\). Určte ich podiel \(\frac{z_{1}} {z_{2}} \) v algebraickom tvare.
\(-\sqrt{3} + \mathrm{i}\)
\(\sqrt{3} -\mathrm{i}\)
\(\sqrt{3} + \mathrm{i}\)
\(-\sqrt{3} -\mathrm{i}\)

9000031209

Časť: 
B
Sú dané komplexné čísla \(z_{1} = 2\sqrt{2}\left (\cos \frac{\pi }{4} + \mathrm{i}\sin \frac{\pi }{4}\right )\) a \(z_{2} = \sqrt{2}\left (\cos \frac{7\pi } {4} + \mathrm{i}\sin \frac{7\pi } {4}\right )\). Určte súčin \(z_{1}z_{2}\) v algebraickom tvaru.
\(4\)
\(4\mathrm{i}\)
\(- 4\mathrm{i}\)
\(- 4\)

9000029301

Časť: 
B
Vyberte riešenie danej nerovnice. \[ \left (x - 1\right )\left (x - 2\right )\left (x - 3\right )\geq 0 \]
\(\left [ 1;2\right ] \cup \left [ 3;\infty \right )\)
\(\left (-\infty ;\infty \right )\)
\(\left (-\infty ;1\right )\cup \left (2;3\right )\)
\(\emptyset \)
\(\{0\}\)