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Mediterranean Mathematics Olympiad
2002 Mediterranean Mathematics Olympiad
2
Find all possible values for a
Find all possible values for a
Source:
October 31, 2010
algebra unsolved
algebra
Problem Statement
Suppose
x
,
y
,
a
x, y, a
x
,
y
,
a
are real numbers such that
x
+
y
=
x
3
+
y
3
=
x
5
+
y
5
=
a
x+y = x^3 +y^3 = x^5 +y^5 = a
x
+
y
=
x
3
+
y
3
=
x
5
+
y
5
=
a
. Find all possible values of
a
.
a.
a
.
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