Løs for 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,
Løs for k_c
k_{c}=\frac{x^{2}}{\left(x-20\right)\left(x-10\right)}
x\neq 10\text{ and }x\neq 20
Løs for 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,
Graf
Spørrelek
Algebra
5 problemer som ligner på:
k _ { c } = \frac { x ^ { 2 } } { ( 10 - x ) ( 20 - x ) }
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