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Korea Junior Mathematics Olympiad
2008 Korea Junior Math Olympiad
2
Find the mimimum value
Find the mimimum value
Source: KJMO 2008 Problem 2
September 6, 2018
inequalities
Problem Statement
Let
x
,
y
∈
R
x,y\in\mathbb{R}
x
,
y
∈
R
such that
x
>
2
,
y
>
3
x>2, y>3
x
>
2
,
y
>
3
. Find the minimum value of
(
x
+
y
)
2
x
2
−
4
+
y
2
−
9
\frac{(x+y)^2}{\sqrt{x^2-4}+\sqrt{y^2-9}}
x
2
−
4
+
y
2
−
9
(
x
+
y
)
2
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