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Rational numbers with sum 0 and product 1

Source: KoMaL A. 822

April 12, 2022
number theoryrational numbersElliptic Curves

Problem Statement

Is it possible to find p,q,r∈Qp,q,r\in\mathbb Q such that p+q+r=0p+q+r=0 and pqr=1pqr=1?
Proposed by Máté Weisz, Cambridge
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