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(x+a)(x+b)=x+a+b diophantine

Source: Rioplatense 2017 L3 P1

October 19, 2022
number theorydiophantineDiophantine equation

Problem Statement

Let aa be a fixed positive integer. Find the largest integer bb such that (x+a)(x+b)=x+a+b(x+a)(x+b)=x+a+b, for some integer xx.
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