Určení kořenů binomické rovnice
Urči kořeny binomické rovnice:
\large x^3+\text{i} = 0
\large K = \left \{\text{i}; \Large \frac{\sqrt {3}}{2}\large +\Large \frac{1}{2}\large \text{i};-\Large \frac{\sqrt {3}}{2}\large +\Large \frac{1}{2}\large \text{i}\right \}
\large K = \left \{-\text{i};- \Large \frac{\sqrt {3}}{2}\large +\Large \frac{1}{2}\large \text{i};\Large \frac{\sqrt {3}}{2}\large +\Large \frac{1}{2}\large \text{i}\right \}
\large K = \left \{\text{i};- \Large \frac{\sqrt {3}}{2}\large -\Large \frac{1}{2}\large \text{i};\Large \frac{\sqrt {3}}{2}\large -\Large \frac{1}{2}\large \text{i}\right \}
\large K = \left \{\text{i};- \Large \frac{\sqrt {3}}{2}\large -\Large \frac{1}{2}\large \text{i};-\Large \frac{\sqrt {3}}{2}\large +\Large \frac{1}{2}\large \text{i}\right \}