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PEN H Problems
9
9
Part of
PEN H Problems
Problems
(1)
H 9
Source:
5/25/2007
Determine all integers
a
a
a
for which the equation
x
2
+
a
x
y
+
y
2
=
1
x^{2}+axy+y^{2}=1
x
2
+
a
x
y
+
y
2
=
1
has infinitely many distinct integer solutions
x
,
y
x, \;y
x
,
y
.
algebra
polynomial
Vieta
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absolute value
Diophantine Equations