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1989 ITAMO
1
x^2 +xy+y^2 = 2 in Q
x^2 +xy+y^2 = 2 in Q
Source: 1989 ITAMO p1
January 31, 2020
algebra
equation
rational
Problem Statement
Determine whether the equation
x
2
+
x
y
+
y
2
=
2
x^2 +xy+y^2 = 2
x
2
+
x
y
+
y
2
=
2
has a solution
(
x
,
y
)
(x,y)
(
x
,
y
)
in rational numbers.
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