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Hungary-Israel Binational
1990 Hungary-Israel Binational
1
Squares
Squares
Source: Hungary-Israel Math Competition, 1990
May 23, 2006
Problem Statement
Prove that there are no positive integers
x
x
x
and
y
y
y
such that
x
2
+
y
+
2
x^2+y+2
x
2
+
y
+
2
and
y
2
+
4
x
y^2+4x
y
2
+
4
x
are perfect squares
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