The cubic equation x^{3} + ax+ a = 0 has three roots x_{1}, x_{2} and x_{3} with x_{1} ≤ x_{2} ≤ x_{3}, where a is real and non zero, such that:
x_{1}^{2}/ x_{2} + x_{2}^{2}/ x_{3} + x_{3}^{2}/ x_{1} = 8
Determine x_{1}, x_{2} and x_{3}


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