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

Given equation: x^3 x^2 1 = 0 Roots are: α, β, γ α + β + γ = 1, αβ + βγ + γα = 0, αβγ = 1. Now, 1 + α1 α = 2 (1 α)1 α = 21 α 1 ∴ nbsp;∑1 + α ...

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Algebra of Roots of Quadratic Equations

If α, β, γ ar...

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

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

α, β, γ

x^{3} + 4 x + 1 = 0

(α + β)^{- 1} + (β + γ)^{- 1} + (γ + α)^{- 1}

α, β, γ

x^{3} + a x + b = 0

(α + β)^{- 1} + (β + γ)^{- 1} + (γ + α)^{- 1} =

α, β, γ

x^{3} + 4 x + 1 = 0

(α + β)^{- 1} + (β + γ)^{- 1} + (γ + α)^{- 1} =

α, β, γ

x^{3} + p x + r = 0

\frac{1 + α}{1 - α} + \frac{1 + β}{1 - β} + \frac{1 + γ}{1 - γ}

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