# Ambiguity of Small and Large

Algebra Level 4

Let the sum of the zeros of $$5x^5=x^4$$ be $$r$$.

Evaluate $$p+q$$, when $$\dfrac pq=3r^2+4r^3+5r^4+6r^5+\cdots$$ and $$p,q$$ are coprime positive integers.

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