# NMTC final test 2014

Algebra Level 4

If $$x, y, z$$ are each greater than 1, find the least constant $$K$$ such that

$$\huge\ \frac { { x }^{ 4 } }{ { (y-1) }^{ 2 } } +\frac { { y }^{ 4 } }{ { (z-1) }^{ 2 } } +\frac { { z }^{ 4 } }{ { (x-1) }^{ 2 } } \ge \quad K$$.

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