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Akdeniz University MO
1997 Akdeniz University MO
2
Very easy inequality
Very easy inequality
Source:
January 30, 2016
inequalities
easy inequality
Problem Statement
If
x
x
x
and
y
y
y
are positive reals, prove that
x
2
x
y
+
y
2
y
x
≥
x
2
+
y
2
x^2\sqrt{\frac{x}{y}}+y^2\sqrt{\frac{y}{x}} \geq x^2+y^2
x
2
y
x
+
y
2
x
y
≥
x
2
+
y
2
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