If , , and are the roots of , then the value of…

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

If α\alpha, β\beta, and γ\gamma are the roots of x3−x2−1=0x^3-x^2-1=0, then the value of ∑1+α1−α\displaystyle\sum\frac{1+\alpha}{1-\alpha} is (1) −7-7 (2) −6-6 (3) −5-5 (4) −4-4

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