Řešení soustavy rovnic
Řeš v \( ℝ × ℝ \) soustavy rovnic:
\( x^{2} + y^{2}\ –\ 4 = 0 \)
\( x + 2 y = 0 \)
\( \large K = \left \{ {\left[ { - \Large \frac{{3\sqrt 5 }}{5}\large ;\Large \frac{{3\sqrt 5 }}{5}\large } \right] ;\left[ {\Large \frac{{3\sqrt 5 }}{5}\large ;- \Large \frac{{3\sqrt 5 }}{5}\large } \right] } \right \} \)
\( \large K = \left \{ {\left[ { - \Large \frac{{4\sqrt 5 }}{5}\large ;\Large \frac{{2\sqrt 5 }}{5}\large } \right] ;\left[ {\Large \frac{{4\sqrt 5 }}{5}\large ;- \Large \frac{{2\sqrt 5 }}{5}\large } \right] } \right \} \)
\( \large K = \left \{ {\left[ { - \Large \frac{{2\sqrt 5 }}{5}\large ;\Large \frac{{4\sqrt 5 }}{5}\large } \right] ;\left[ {\Large \frac{{2\sqrt 5 }}{5}\large ;- \Large \frac{{4\sqrt 5 }}{5}\large } \right] } \right \} \)
\( \large K = \left \{ {\left[ { - \Large \frac{{5\sqrt 5 }}{5}\large ;\Large \frac{{1\sqrt 5 }}{5}\large } \right] ;\left[ {\Large \frac{{5\sqrt 5 }}{5}\large ;- \Large \frac{{1\sqrt 5 }}{5}\large } \right] } \right \} \)