Child Labor 14

Algebra Level 3

\[\begin{cases} \dfrac{1}{a^2} + \dfrac{1}{ab} + \dfrac{1}{b^2} = 3 \\ \dfrac{1}{b^2} + \dfrac{1}{bc} + \dfrac{1}{c^2} = 1 \\ \dfrac{1}{c^2} + \dfrac{1}{ca} + \dfrac{1}{a^2} = 2 \end{cases} \]

Given that \(a,b\) and \(c\) satisfy the system of equations above, then \(a,b\) and \(c\) follows a/an:

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