# A past problem

**Algebra**Level pending

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)

**17th Philippine Mathematical Olympiad**