What about this? -1

Algebra Level 5

\[\large \mathcal A =\displaystyle\sum_{\text{cyc}} \frac{6\alpha}{\beta\gamma+1} \]

If \(\alpha,\beta,\gamma\) are roots of the equation \(x^3-7x^2+5x+2=0\), then find \(\mathcal A\).


Also try the Part-2 .

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