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What about this? -1

A=cyc6αβγ+1\large \mathcal A =\displaystyle\sum_{\text{cyc}} \frac{6\alpha}{\beta\gamma+1}

If α,β,γ\alpha,\beta,\gamma are roots of the equation x37x2+5x+2=0x^3-7x^2+5x+2=0, then find A\mathcal A.


Also try the Part-2 .