Vyřešte pro: x (complex solution)
\left\{\begin{matrix}x=\frac{5\left(\sqrt{k_{c}\left(k_{c}+8\right)}+3k_{c}\right)}{k_{c}-1}\text{; }x=\frac{5\left(-\sqrt{k_{c}\left(k_{c}+8\right)}+3k_{c}\right)}{k_{c}-1}\text{, }&k_{c}\neq 1\\x=\frac{20}{3}\text{, }&k_{c}=1\end{matrix}\right,
Vyřešte pro: k_c
k_{c}=\frac{x^{2}}{\left(x-20\right)\left(x-10\right)}
x\neq 10\text{ and }x\neq 20
Vyřešte pro: x
\left\{\begin{matrix}x=\frac{5\left(\sqrt{k_{c}\left(k_{c}+8\right)}+3k_{c}\right)}{k_{c}-1}\text{; }x=\frac{5\left(-\sqrt{k_{c}\left(k_{c}+8\right)}+3k_{c}\right)}{k_{c}-1}\text{, }&\left(k_{c}\neq 1\text{ and }k_{c}\geq 0\right)\text{ or }k_{c}\leq -8\\x=\frac{20}{3}\text{, }&k_{c}=1\end{matrix}\right,
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