If are roots of the cubic equation where are the roots of the cubic equation

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

Problem

If 1+α1−α,1+β1−β,1+γ1−γ\frac{1+\alpha}{1-\alpha}, \frac{1+\beta}{1-\beta}, \frac{1+\gamma}{1-\gamma} are roots of the cubic equation f(x)=0f(x) = 0 where α,β,γ\alpha, \beta, \gamma are the roots of the cubic equation 3x3−2x+5=03x^3 - 2x + 5 = 0, then the number of negative real roots of the equation f(x)=0f(x) = 0 is: (a) 0 (b) 1 (c) 2 (d) 3

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