Let

4x^2-4(α-2)x+α-2=0

(α is real number)

be a quadratic equation, then find the value of α for which both the roots are positive.

the conditions will be

1) Discriminant D≥0

by this condition i got α (-∞,2][3,∞)

2) f(0) greater than or equal to 0

by this we get α (2,∞)

3) now should i use -b/2a(point exactly between both roots)

and equate as -b/2a greater than 0

if-3rd point is right then what will be the final answer

α (?,?)union(?,?)

please provide help