# Find the number of ordered pairs!

$\large x^2 - px + q = 0 \qquad \qquad x^2-qx +p = 0$

Let $$p$$ and $$q$$ be positive integers such that the two quadratic equations above have unequal integer roots (in $$x$$).

Find the number of ordered solutions $$(p,q)$$ satisfying the above conditions.

×