# How can this possibly be unique...

Algebra Level 3

$\large \begin{cases} a+b+c=2 \\ a^2+b^2+c^2=4\end{cases}$

Suppose that $$a,b,$$ and $$c$$ are nonzero numbers that satisfy the system of equations above. Find $$\dfrac{ab}{c}+\dfrac{ac}{b}+\dfrac{bc}{a}$$.

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