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Greece JBMO TST
2013 Greece JBMO TST
1
(x+2/y)(y/x+2)>= 8 if, xy>0
(x+2/y)(y/x+2)>= 8 if, xy>0
Source: Greece JBMO TST 2013 p1
April 29, 2019
algebra
inequalities
Problem Statement
If x,y<0 prove that
(
x
+
2
y
)
(
y
x
+
2
)
≥
8
\left(x+\frac{2}{y} \right) \left(\frac{y}{x}+2 \right)\geq 8
(
x
+
y
2
)
(
x
y
+
2
)
≥
8
. When do we have equality?
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