Question

Let α ,β ,γ be the roots of the equation x3+ 4x + 1 = 0, then (α + β)-1 + (β + γ)-1 + (γ + α)-1 equals

(a) 2

(b) 3

(c) 4

(d) 5

Answer 1

Correct option (c) 4

Explanation:

α + β + γ = 0, α β + β γ + γ α = 4, α β γ = -1

1/α + β + 1/β + γ + 1/γ + α = 1/γ - 1/α - 1/β

= - α β + β γ + γ α/αβγ = (4/-1) = 4