If - - - are the roots of x3-x2-1-0- then find the value of 1-1-1-1-1-1-

Given, #160; x^3 x^2 1=0 α +β +γ = ba=0 αβ +βγ +γα =ca= 1 αβγ = da=1 1+α1 α+1+β1 β+1+γ1 γ =3αβγ (αβ +βγ +γα) (α+ β +γ )+3αβγ ( ...

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Geometric Progression

If α, β, γ ...

Question

If $α, β, γ$ are the roots of $x^{3} - x^{2} - 1 = 0$ , then find the value of $\frac{1 + α}{1 - α} + \frac{1 + β}{1 - β} + \frac{1 + γ}{1 - γ}$ .

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