# Thread: Roots of a cubic.

1. ## Roots of a cubic.

the roots x,y,z of the equation $x^3+ax+a\:=\;\boxed{0}$ where a is not equal to zero and real satisfy....
$\:\dfrac{a^2}{b} +\:\dfrac{b^2}{c} \:+\:\dfrac{c^2}{a} = \:\boxed{-8}$
then a =?
options
Spoiler:

(a)-6
(b)-8
(c)-10
(d)-12