A past problem

Algebra Level 4

Let \(a,b\) and \(c\) be the roots of \(x^3-4x-8=0\). Find the numerical value of the expression \[\dfrac{a+2}{a-2}+\dfrac{b+2}{b-2}+\dfrac{c+2}{c-2}\]


Source: 17th Philippine Mathematical Olympiad (2014)
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