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solve in integers a^{2}=bc+4 and b^{2}=ca+4

Source: CRMO 2015 region 4 (Karnataka) p3

September 30, 2018
number theoryDiophantine EquationsDiophantine equationsystem of equations

Problem Statement

Find all integers a,b,ca,b,c such that a2=bc+4a^{2}=bc+4 and b2=ca+4b^{2}=ca+4.
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