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(m - n)^2 =4mn/(m + n - 1) diophantine

Source: 1999 Estonia National Olympiad Final Round grade 11 p1

March 11, 2020

diophantineDiophantine equationnumber theory

Problem Statement

Find all pairs of integers

(m, n)

such that

(m - n)^2 =\frac{4mn}{m + n - 1}