# Vieta's is fun, so I'll post another problem!

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 $\displaystyle \sum_{\text{cyc}} \dfrac{a^4}{bc+1}$.

Too hard? Here are some slightly easier problems.

Too easy? Try this then.

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