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Easy diophantine

Source: SMO senior 2024 Q2 / SMO junior 2024 Q5

August 3, 2024
Diophantine equationnumber theory

Problem Statement

Find all integer solutions of the equation y2+2y=x4+20x3+104x2+40x+2003.y^2+2y=x^4+20x^3+104x^2+40x+2003.
Note: has appeared many times before, see [url=https://artofproblemsolving.com/community/q1_%22x%5E4%2B20x%5E3%2B104x%5E2%22]here
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