Advance Happy New Year 2015!
Algebra
Level
2
Find the minimum value of
\[ \frac { { x }^{ 2 }+{ y }^{ 2 } }{ z } +\frac { { z }^{ 2 }+{ x }^{ 2 } }{ y } +\frac { { y }^{ 2 }+{ z }^{ 2 } }{ x }, \]
subject to \( x + y + z = 2015 \) and \( x, y ,z > 0 \).
by
Surya Prakash