Question

$$m=p^{2}+2$$

Solve for p (complex solution)

$p=-\sqrt{m-2}$
$p=\sqrt{m-2}$

Solve for m

$m=p^{2}+2$

Solve for p

$p=\sqrt{m-2}$
$p=-\sqrt{m-2}\text{, }m\geq 2$