# Do you know recurrence formula?

Algebra Level 5

$\dfrac{a^4+b^4+c^4}{a^3+b^3+c^3}$Let $a,b,c$ be the roots of the equation $6x^3-6x^2-3x-1=0$.

If the value of the expression above is equal to $\dfrac{m}{n}$, where $m$ and $n$ are coprime positive integers, find $m+n$.

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