Let S be the set of all non-zero real numbers α such that the quadratic equation αx²−x+α=0 has two distinct real roots x1 and x2 satisfying the inequality |x1−x2|<1. Which of the following intervals is(are) subset(s) of S?
A. (−1/2,−1/√5)
B. (−1/√5,0)
C. (0,1/√5)
D.(1/√5,1/2)