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4
KJMO 2000 inequality
KJMO 2000 inequality
Source: 2000 KJMO P5
June 29, 2024
inequalities
KJMO
algebra
Problem Statement
Show that for real variables
1
≤
a
,
b
≤
2
1 \leq a, b \leq 2
1
≤
a
,
b
≤
2
the following inequality holds.
2
(
a
+
b
)
2
≤
9
a
b
2(a+b)^2 \leq 9ab
2
(
a
+
b
)
2
≤
9
ab
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