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Poland - Second Round
1996 Poland - Second Round
5
x^2(y-1)+y^2(x-1) = 1 diophantine
x^2(y-1)+y^2(x-1) = 1 diophantine
Source: Polish second round 1996 p5
January 19, 2020
number theory
diophantine
Diophantine equation
Problem Statement
Find all integers
x
,
y
x,y
x
,
y
such that
x
2
(
y
−
1
)
+
y
2
(
x
−
1
)
=
1
x^2(y-1)+y^2(x-1) = 1
x
2
(
y
−
1
)
+
y
2
(
x
−
1
)
=
1
.
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