# Inequality. Right?

Algebra Level 4

$\large\ P = \frac { { a }^{ 2 } }{ 2{ a }^{ 2 } + bc } + \frac { { b }^{ 2 } }{ 2b^{ 2 } + ca } + \frac { { c }^{ 2 } }{ 2c^{ 2 } + ab }$

Let $$a$$, $$b$$ and $$c$$ be real numbers satisfying $$a + b + c = 0$$, find the value of $$P$$ such that $$P$$ is defined.

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