Question

Let S be the set of all non-zero real numbers α such that the quadratic equation α x²-x + α = 0 has two distinct real roots x₁ and x₂ satisfying the inequality│ x₁ - x₂ │< 1. Which of the following intervals is(are) a subset(s) of S ?
(A) (1/2 , 1/√5)
(B) (- (1/√5),0)
(C) (0,1/√5)
(D) (1/√5 , 1/2)

Answer 1

Step-by-step explanation:

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