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