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Greece Contests
Greece Junior Math Olympiad
2004 Greece Junior Math Olympiad
3
3
Part of
2004 Greece Junior Math Olympiad
Problems
(1)
An ineq easy
Source: Greece 2004 juniors
7/12/2005
x,y,z positive real numbers such that
x
2
+
y
2
+
z
2
=
25
x^2+y^2+z^2=25
x
2
+
y
2
+
z
2
=
25
Find the min price of
A
=
x
y
z
+
y
z
x
+
z
x
y
A=\frac{xy}{z}+\frac{yz}{x}+\frac{zx}{y}
A
=
z
x
y
+
x
yz
+
y
z
x
inequalities unsolved
inequalities