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a -1/b=b - 1/c=c - 1/a

Source: Mathematics Regional Olympiad of Mexico Northeast 2016 P5

September 12, 2022
algebrasystem of equations

Problem Statement

Find all triples of reals (a,b,c)(a, b, c) such that a−1b=b−1c=c−1a.a - \frac{1}{b}=b - \frac{1}{c}=c - \frac{1}{a}.
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