1.

The roots x_(1),x_(2), x_(3) of the equatiion x^(3) + ax + a=0, where a is a non-zero real, satisfy x_(1)^(2)/x_(2) + (x_(1)+1)/(x_(1)x_(2)x_(3)) +............ + ((x_(1)+1)(x_(2)+1)....(x_(n+1)+1))/(x_(1)x_(2)......x_(n))=0

Answer»


ANSWER :`{x_(1), x_(2)) = (-2,1 - SQRT(5),1+sqrt(5))` all its PERMUTATION.


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