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Czech and Slovak Olympiad III A
2008 Czech and Slovak Olympiad III A
1
czech republic,czech and slovakia MO(third round),2008 p1
czech republic,czech and slovakia MO(third round),2008 p1
Source:
February 25, 2012
algebra unsolved
algebra
Problem Statement
Find all pairs of real numbers
(
x
,
y
)
(x,y)
(
x
,
y
)
satisfying:
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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