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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