Question

$$n= \sqrt{ \frac{ { C }^{ 2 } \times t }{ e } }$$

Solve for C (complex solution)

$\left\{\begin{matrix}C=-\sqrt{e}t^{-\frac{1}{2}}n\text{; }C=\sqrt{e}t^{-\frac{1}{2}}n\text{, }&t\neq 0\text{ and }\left(n=0\text{ or }arg(n)<\pi \right)\\C\in \mathrm{C}\text{, }&n=0\text{ and }t=0\end{matrix}\right.$

Solve for n (complex solution)

$n=\sqrt{\frac{tC^{2}}{e}}$

Solve for C

$\left\{\begin{matrix}C=\sqrt{\frac{e}{t}}n\text{; }C=-\sqrt{\frac{e}{t}}n\text{, }&t>0\text{ and }n\geq 0\\C=0\text{, }&t\neq 0\text{ and }n=0\\C\in \mathrm{R}\text{, }&t=0\text{ and }n=0\end{matrix}\right.$

Solve for n

$n=\sqrt{\frac{tC^{2}}{e}}$
$C=0\text{ or }t\geq 0$