Risolvi v=r^2t-t/3

$$v = \frac { r ^ { 2 } t - t } { 3 }$$

Trova r (soluzione complessa)

$$\left\{\begin{matrix}r=-\sqrt{\frac{t+3v}{t}}\text{; }r=\sqrt{\frac{t+3v}{t}}\text{, }&t\neq 0\\r\in \mathrm{C}\text{, }&v=0\text{ and }t=0\end{matrix}\right,$$

Trova t (soluzione complessa)

$$\left\{\begin{matrix}t=\frac{3v}{r^{2}-1}\text{, }&r\neq -1\text{ and }r\neq 1\\t\in \mathrm{C}\text{, }&\left(r=1\text{ or }r=-1\right)\text{ and }v=0\end{matrix}\right,$$

Trova r

$$\left\{\begin{matrix}r=\sqrt{\frac{t+3v}{t}}\text{; }r=-\sqrt{\frac{t+3v}{t}}\text{, }&\left(t<0\text{ or }v\geq -\frac{t}{3}\right)\text{ and }\left(t>0\text{ or }v\leq -\frac{t}{3}\right)\text{ and }t\neq 0\\r\in \mathrm{R}\text{, }&v=0\text{ and }t=0\end{matrix}\right,$$

Trova t

$$\left\{\begin{matrix}t=\frac{3v}{r^{2}-1}\text{, }&|r|\neq 1\\t\in \mathrm{R}\text{, }&v=0\text{ and }|r|=1\end{matrix}\right,$$