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PEN H Problems
4
H 4
H 4
Source:
May 25, 2007
conics
ellipse
parameterization
greatest common divisor
Diophantine Equations
Problem Statement
Find all pairs
(
x
,
y
)
(x, y)
(
x
,
y
)
of positive rational numbers such that
x
2
+
3
y
2
=
1
x^{2}+3y^{2}=1
x
2
+
3
y
2
=
1
.
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