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7
SMT 2007 Algebra #7
SMT 2007 Algebra #7
Source:
June 27, 2012
Problem Statement
Find the minimum value of
x
y
+
x
+
y
+
1
x
y
+
1
x
+
1
y
xy+x+y+\frac{1}{xy}+\frac{1}{x}+\frac{1}{y}
x
y
+
x
+
y
+
x
y
1
+
x
1
+
y
1
for
x
,
y
>
0
x, y>0
x
,
y
>
0
real.
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