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(|x| - 2)^2 + (|y| - 2)^2 < 5 , diophantine

Source: 2005 Austria Beginners' Competition p2

October 12, 2022
number theorydiophantineinequalities

Problem Statement

Determine the number of integer pairs (x,y)(x, y) such that (∣x∣−2)2+(∣y∣−2)2<5(|x| - 2)^2 + (|y| - 2)^2 < 5 .
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