Kořeny komplexní rovnice
Urči v \mathbb{C} kořeny rovnice s komplexními koeficienty:
\large 2x^2+\left( 2-2\text{i}\right) x-1-\text{i} = 0
\large K = \left \{-\Large \frac{1-\sqrt {2}}{2}\large +\Large \frac{1}{2}\large \text{i}; -\Large \frac{1+\sqrt {2}}{2}\large +\Large \frac{1}{2}\large \text{i} \right \}
\large K = \left \{-\Large \frac{1+\sqrt {3}}{2}\large +\Large \frac{1}{2}\large \text{i}; -\Large \frac{1-\sqrt {3}}{2}\large +\Large \frac{1}{2}\large \text{i} \right \}
\large K = \left \{-\Large \frac{1+\sqrt {2}}{2}\large +\Large \frac{1}{2}\large \text{i}; -\Large \frac{1-\sqrt {2}}{2}\large +\Large \frac{1}{2}\large \text{i} \right \}
\large K = \left \{-\Large \frac{1+\sqrt {2}}{2}\large -\Large \frac{1}{2}\large \text{i}; -\Large \frac{1-\sqrt {2}}{2}\large -\Large \frac{1}{2}\large \text{i} \right \}