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Kyrgyzstan National Olympiad
2009 Kyrgyzstan National Olympiad
4
Equation(KgNM2009)
Equation(KgNM2009)
Source:
April 27, 2011
algebra unsolved
algebra
Problem Statement
Find all real
(
x
,
y
)
(x,y)
(
x
,
y
)
such that
x
+
y
2
=
y
3
x + {y^2} = {y^3}
x
+
y
2
=
y
3
y
+
x
2
=
x
3
y + {x^2} = {x^3}
y
+
x
2
=
x
3
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