Rovnice s neznámou
Řeš s neznámou \( x \in \mathbb{ℝ} \) a s parametrem \( a\in \mathbb{ℝ} \) rovnice:
\( \large \Large \frac{{2a}}{x}\large - \Large \frac{{a-2}}{3}\large = \Large \frac{5}{x}\large \)
parametr | řešení pro x |
\( a \in \left\{ {2;\ \frac{5}{2}} \right\} \) | \( K = ∅ \) |
\( a \in \mathbb{R}\ – \left\{ {2;\ \frac{5}{2}} \right\} \) | \( K = \left\{\frac{15\ –\ 6 a}{2\ –\ a} \right\} \) |
parametr | řešení pro x |
\( a \in \left\{ {3;\ \frac{5}{3}} \right\} \) | \( K = ∅ \) |
\( a \in \mathbb{R}\ – \left\{ {3;\ \frac{5}{3}} \right\} \) | \( K = \left\{\frac{15\ –\ 6 a}{3\ –\ a} \right\} \) |
parametr | řešení pro x |
\( a \in \left\{ {1;\ \frac{5}{4}} \right\} \) | \( K = ∅ \) |
\( a \in \mathbb{R}\ – \left\{ {1;\ \frac{5}{4}} \right\} \) | \( K = \left\{\frac{15\ –\ 6 a}{1\ –\ a} \right\} \) |
parametr | řešení pro x |
\( a \in \left\{ {4;\ \frac{5}{5}} \right\} \) | \( K = ∅ \) |
\( a \in \mathbb{R}\ – \left\{ {4;\ \frac{5}{5}} \right\} \) | \( K = \left\{\frac{15\ –\ 6 a}{4\ –\ a} \right\} \) |