Everyone is playing with Vieta's, so I decided to join in the fun!
Algebra
Level
5
\[x^3-7x^2+5x+2=0\]
Given that \(a\), \(b\) and \(c\) are the roots of the above equation, find the value of \( \displaystyle \sum_{\text{cyc}} \dfrac{6a^2}{bc+1}\).
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by
Hung Woei Neoh