An algebra problem by Naren Bhandari

Algebra Level 3

p(qr)x2+q(rp)x+r(pq)=0\large p(q-r)x^2 + q(r-p)x + r(p-q) = 0

If the equation above has two equal roots, find 1p+1r\dfrac{1}{p} + \dfrac{1}{r} .

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