Řešení soustavy rovnic v R²
Řeš v \( \mathbb{R}\times\mathbb{R} \) soustavu rovnic:
\( \begin{array}{l}\frac{2}{x^{2}}+\frac{1}{y^{2}}=33 \\ 4 x-y=0\end{array} \)
\( K=\left\{\left[-\frac{1}{3} ;-1\right] ;\left[\frac{1}{3} ; 1\right]\right\} \)
\( K=\left\{\left[-\frac{1}{4} ;-2\right] ;\left[\frac{1}{4} ; 2\right]\right\} \)
\( K=\left\{\left[-\frac{1}{2} ;-1\right] ;\left[\frac{1}{2} ; 1\right]\right\} \)
\( K=\left\{\left[-\frac{1}{4} ;-1\right] ;\left[\frac{1}{4} ; 1\right]\right\} \)