MathDB

2

Part of 2005 Austria Beginners' Competition

Problems(1)

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

Source: 2005 Austria Beginners' Competition p2

10/12/2022
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 .
number theorydiophantineinequalities