### About finding roots of polynomials in specific domains

I have two polynomials $p(x)$ and $q(x)$ and I want to know if there are roots of the equation $\frac{p'}{p} = \frac{q'}{q}$ in the domain $(a,\infty)$ , where $a = max ~~ ~~{ ~~roots(p),roots(q) ~~roots(p), roots(q) }$

This is the same as asking for the roots of the polynomial, $p'q - pq' = 0$ in the same domain.

- Can something in Sage help?