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Komplexní číslo v rovnici
Urči v \mathbb{C} komplexní číslo z tak, aby platila rovnice:
\large 7+3z = 6\text{i}^6+\left( \cos {\Large \frac{3\pi}{2}\large }+\text{i}\sin {\Large \frac{3\pi}{2}\large }\right)
7 + 3z= –6 + (–i)
3z= –14 – i
\large z =-\Large \frac{14}{3}\large -\Large \frac{1}{3}\large \text{i}
7 + 3z= –6 + (–i)
3z= –12 – i
\large z =-\Large \frac{12}{3}\large -\Large \frac{1}{3}\large \text{i}
7 + 3z= –6 + (–i)
3z= –13 – i
\large z =-\Large \frac{13}{3}\large -\Large \frac{1}{3}\large \text{i}
7 + 3z= –6 + (–i)
3z= –13 + i
\large z =-\Large \frac{13}{3}\large +\Large \frac{1}{3}\large \text{i}