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a ^2 - 3a = b ^3 - 2 diophantine

Source: Mathematics Regional Olympiad of Mexico Center Zone 2008 P1

November 9, 2021
Diophantine equationdiophantinenumber theory

Problem Statement

Find all pairs of integers a,b a, b that satisfy a2−3a=b3−2a ^2-3a = b ^3-2.
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