Řešení kvadratické rovnice v komplexních číslech
Řeš v \mathbb{C} rovnici:
\large 3x^2-4x+2 = 0
\large K = \left \{\Large \frac{1}{3}\large -\Large \frac{\sqrt {2}}{3}\large \text{i};\Large \frac{1}{3}\large +\Large \frac{\sqrt {2}}{3}\large \text{i}\right \}
\large K = \left \{\Large \frac{2}{3}\large -\Large \frac{\sqrt {3}}{3}\large \text{i};\Large \frac{2}{3}\large +\Large \frac{\sqrt {3}}{3}\large \text{i}\right \}
\large K = \left \{\Large \frac{2}{3}\large -\Large \frac{\sqrt {2}}{3}\large \text{i};\Large \frac{2}{3}\large +\Large \frac{\sqrt {2}}{3}\large \text{i}\right \}
\large K = \left \{\Large \frac{3}{2}\large -\Large \frac{\sqrt {2}}{2}\large \text{i};\Large \frac{3}{2}\large +\Large \frac{\sqrt {2}}{2}\large \text{i}\right \}