Given $mv=\dfrac{4p^2-3q}{p^2}$, express $p$ in terms of $m,v,q$. Assume $4-mv\ne0$ and \(\d

Question

Given $mv=\dfrac{4p^2-3q}{p^2}$, express $p$ in terms of $m,v,q$. Assume $4-mv\ne0$ and $\dfrac{3q}{4-mv}>0$.

Accepted Answer

$p=\pm\sqrt{\dfrac{3q}{4-mv}}$

Formula rearrangement and scaling