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1987 AIME Problems
5
3x^2 y^2
3x^2 y^2
Source:
March 15, 2006
SFFT
special factorizations
Problem Statement
Find
3
x
2
y
2
3x^2 y^2
3
x
2
y
2
if
x
x
x
and
y
y
y
are integers such that
y
2
+
3
x
2
y
2
=
30
x
2
+
517
y^2 + 3x^2 y^2 = 30x^2 + 517
y
2
+
3
x
2
y
2
=
30
x
2
+
517
.
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