Ambiguity of Small and Large

Algebra Level 4

Let the sum of the zeros of 5x5=x45x^5=x^4 be rr.

Evaluate p+qp+q, when pq=3r2+4r3+5r4+6r5+\dfrac pq=3r^2+4r^3+5r^4+6r^5+\cdots and p,qp,q are coprime positive integers.

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