Atrisiniet P=sqrt{sigma/pix}

$$P = \sqrt { \frac { \sigma } { \pi x } }$$

Atrast P (complex solution)

$$P=\sqrt{\frac{\sigma }{\pi x}}$$

$$x\neq 0$$

Atrast x (complex solution)

$$\left\{\begin{matrix}x=\frac{\sigma }{\pi P^{2}}\text{, }&\sigma \neq 0\text{ and }arg(P)<\pi \text{ and }P\neq 0\\x\neq 0\text{, }&P=0\text{ and }\sigma =0\end{matrix}\right,$$

Atrast P

$$P=\sqrt{\frac{\sigma }{\pi x}}$$

$$\left(\sigma \geq 0\text{ and }x>0\right)\text{ or }\left(\sigma \leq 0\text{ and }x<0\right)$$

Atrast x

$$\left\{\begin{matrix}x=\frac{\sigma }{\pi P^{2}}\text{, }&P>0\text{ and }\sigma \neq 0\\x\neq 0\text{, }&\sigma =0\text{ and }P=0\end{matrix}\right,$$