Kořeny binomické rovnice
Urči kořeny binomické rovnice za použití rozkladu na součin mnohočlenů nebo substituce:
\large x^3-1 = 0
\large K = \left \{1;-\Large \frac{1}{4}\large -\Large \frac{\sqrt {3}}{4}\large \text{i};-\Large \frac{1}{4}\large +\Large \frac{\sqrt {3}}{4}\large \text{i}\right \}
\large K = \left \{1;-\Large \frac{1}{2}\large -\Large \frac{\sqrt {3}}{2}\large \text{i};-\Large \frac{1}{2}\large +\Large \frac{\sqrt {3}}{2}\large \text{i}\right \}
\large K = \left \{1;-\Large \frac{1}{2}\large -\Large \frac{\sqrt {2}}{2}\large \text{i};-\Large \frac{1}{2}\large +\Large \frac{\sqrt {2}}{2}\large \text{i}\right \}
\large K = \left \{1;-\Large \frac{1}{3}\large -\Large \frac{\sqrt {3}}{3}\large \text{i};-\Large \frac{1}{3}\large +\Large \frac{\sqrt {3}}{3}\large \text{i}\right \}