Řešení soustavy rovnic
Řeš v \( ℝ × ℝ \) soustavy rovnic:
\( \frac{1}{{x^{2}}} + \frac{1}{{y^{2}}} = 13 \)
\( \frac{1}{x} + \frac{1}{y} = 5 \)
\( \large K = \left \{ {\left[ {\Large \frac{1}{3}\large ;\Large \frac{1}{4}\large } \right] ;\left[ {\Large \frac{1}{4}\large ;\Large \frac{1}{3}\large } \right] } \right \} \)
\( \large K = \left \{ {\left[ {\Large \frac{1}{5}\large ;\Large \frac{1}{2}\large } \right] ;\left[ {\Large \frac{1}{2}\large ;\Large \frac{1}{5}\large } \right] } \right \} \)
\( \large K = \left \{ {\left[ {\Large \frac{1}{4}\large ;\Large \frac{1}{2}\large } \right] ;\left[ {\Large \frac{1}{2}\large ;\Large \frac{1}{4}\large } \right] } \right \} \)
\( \large K = \left \{ {\left[ {\Large \frac{1}{3}\large ;\Large \frac{1}{2}\large } \right] ;\left[ {\Large \frac{1}{2}\large ;\Large \frac{1}{3}\large } \right] } \right \} \)