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Řešení rovnice s absolutními hodnotami
Řeš v \( \R \) rovnici:
\( \large \left | {x^{2} + 2 x} \right |-\left | {2-x} \right | = \left | {x^{2}-x} \right | \)
\( \large K = K_{1}\mathop\cup K_{2}\mathop\cup K_{3}\mathop\cup K_{4}\mathop\cup K_{5} = \left \{ {\Large \frac{{\sqrt 3-1}}{2}\large } \right \} \)
\( \large K = K_{1}\mathop\cup K_{2}\mathop\cup K_{3}\mathop\cup K_{4} = \left \{ {\Large \frac{{\sqrt 5+1}}{2}\large } \right \} \)
\( \large K = K_{1}\mathop\cup K_{2}\mathop\cup K_{3}\mathop\cup K_{4}\mathop\cup K_{5} = \left \{ {\Large \frac{{\sqrt 5-1}}{2}\large } \right \} \)
\( \large K = K_{1}\mathop\cup K_{2}\mathop\cup K_{3}\mathop\cup K_{4}\mathop\cup K_{5} = \left \{ {\Large \frac{{\sqrt 5-2}}{2}\large } \right \} \)