Using Vieta's Formula? (2)
Algebra
Level
5
\[\large 2017x^3+2016x^2+2015x+2016=0\]
Let \(\alpha\) , \(\beta\) and \(\gamma\) be the roots of the equation above .
Find the value of :
\[\large \dfrac{2017(\alpha^3-\beta^3-\gamma^3)+2016(\alpha^2-\beta^2-\gamma^2)+2015(\alpha-\beta-\gamma)}{\sqrt[4]{\alpha^4\beta^3\gamma^3+\alpha^3\beta^4\gamma^3+\alpha^3\beta^3\gamma^4}}\]
by
Tommy Li