some algebra fun …

$If~x_{1},x_{2},x_{3},x_{4}\in\mathbb{C}~be~the~roots~of~the~equation~x^4-3x^2-6x-2=0. ~Compute,~S=\frac{1}{1+x_{1}}+\frac{1}{1+x_{2}}+\frac{1}{1+x_{3}}+\frac{1}{1+x_{4}}.$

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