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2022 Kyiv City MO Round 1
Problem 1
Easiest algebra ever
Easiest algebra ever
Source: Kyiv City MO 2022 Round 1, Problem 9.1
January 23, 2022
algebra
inequalities
Problem Statement
What's the smallest possible value of
(
x
+
y
+
∣
x
−
y
∣
)
2
x
y
\frac{(x+y+|x-y|)^2}{xy}
x
y
(
x
+
y
+
∣
x
−
y
∣
)
2
over positive real numbers
x
,
y
x, y
x
,
y
?
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