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Soros Olympiad in Mathematics
IV Soros Olympiad 1997 - 98 (Russia)
9.4
min 16 x^3/y+y^3/x-\sqrt{xy} (IV Soros Olympiad 1997-98 Correspondence 9.4)
min 16 x^3/y+y^3/x-\sqrt{xy} (IV Soros Olympiad 1997-98 Correspondence 9.4)
Source:
June 1, 2024
algebra
inequalities
Problem Statement
Find the smallest value of the expression
16
⋅
x
3
y
+
y
3
x
−
x
y
16 \cdot \frac{x^3}{y}+\frac{y^3}{x}-\sqrt{xy}
16
⋅
y
x
3
+
x
y
3
−
x
y
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