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.
Give this problem a solution which is more elegant, faster or simpler than mine!
by
Hung Woei Neoh