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Problems
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National and Regional Contests
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MAA AMC
AIME Problems
1987 AIME Problems
5
5
Part of
1987 AIME Problems
Problems
(1)
3x^2 y^2
Source:
3/15/2006
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
.
SFFT
special factorizations