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The roots

The roots \(x_1,x_2,x_3 \) of the equation \(x^3+ax+a=0 \), where \(a\) is a non-zero real,satisfy \[\frac{x_1^2}{x_2}+\frac{x_2^2}{x_3}+\frac{x_3^2}{x_1}=-8 \] find \(x_1x_2x_3\)

Note by Vilakshan Gupta
2 months ago

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