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4a(a + 1) = b(b + 3) diophantine

Source: 2005 Austria Beginners' Competition p1

October 12, 2022
number theorydiophantineDiophantine equation

Problem Statement

Show that there are no positive integers aa und bb such that 4a(a+1)=b(b+3)4a(a + 1) = b(b + 3)
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