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Weird diophantine equation

Source: BdMO 2023 Secondary National P3

February 12, 2023
number theoryDiophantine EquationsfactorizationDiophantine equation

Problem Statement

Solve the equation for the positive integers: (x+2y)2+2x+5y+9=(y+z)2(x+2y)^2+2x+5y+9=(y+z)^2
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