If - - Y are the roots of the equation x 3-4 x -1-0-then -1- Y -1- - -1-A- 2B- 5C- 3D- 4

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Relations between Roots and Coefficients : Higher Order Equations

If α, β, Y ar...

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If α, β, γ are the roots of the equation $x^{3} + 4 x + 1 = 0$ ,then $(α + β)^{- 1} + (β + γ)^{- 1} + (γ + α)^{- 1} =$

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If α, β, γ are the roots of the equation $x^{3} + 4 x + 1 = 0$ ,then $(α + β)^{- 1} + (β + γ)^{- 1} + (γ + α)^{- 1} =$

α, β, γ

x^{3} - x - 1 = 0

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

α, β, γ

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

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

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} - x - 1 = 0

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

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