If - - - - - are the roots of x 3 - q x - r - 0 then 1 - - - - - - 1 - - - - - - 1 - - - - - -

Form the given equation ,we can #160;see clearly that α +β + γ =0 Also we have αβ +βγ +γα =q and αβγ = r 1α #160; +β +γ+1/β +γ α+1/γ +α ...

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Relationship between Zeroes and Coefficients of a Polynomial

If α , β , ...

Question

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

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