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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 $(a,\infinity)$ - where $a = max { roots(p),roots(q) }$

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?

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 $(a,\infinity)$ - $(a,\infty)$ , where $a = max { roots(p),roots(q) }$

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?

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?

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 $a = max { roots(p), roots(q) }$} $

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?