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1
Integer solutions to 7x^2y^2 + 3x^2 = 77y^2 + 1260
Integer solutions to 7x^2y^2 + 3x^2 = 77y^2 + 1260
Source: Canada Repêchage 2015/1
June 18, 2016
number theory
diophantine
Problem Statement
Find all integer solutions to the equation
7
x
2
y
2
+
4
x
2
=
77
y
2
+
1260
7x^2y^2 + 4x^2 = 77y^2 + 1260
7
x
2
y
2
+
4
x
2
=
77
y
2
+
1260
.
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