# 2015 Special Part-2

Algebra Level 5

Given real numbers $$p$$ and $$q$$ such that 2015 is a root of

$x^{2}(1-pq)-x(p^{2}+q^{2}) -(1+pq)=0,$

we create 2015 numbers such that $$(p, h_{1},h_{2},.........h_{2015}, q)$$ is a harmonic progression.

Find the value of $\large \dfrac{h_{1}-h_{2015}}{pq(p-q)}$

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