If the roots x(1),x(2),x(3) of the equat...

If the roots `x_(1),x_(2),x_(3)` of the equation `x^(3)+ax+a=0` (where `a in R-{0}`) satisfy `(x_(1)^(2))/(x_(2))+(x_(2)^(2))/(x_(3))+(x_(3)^(2))/(x_(1))=-8`, then find the value of a and the roots of the given cubic equation.

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