Answer:
1. (not enough info).
2. p =1/4.
3. B. Complex roots.
4. A. 2.
Explanation:
1. You have not wrote what αβ is.
As ∝ +β = 3 = -b/a the correct choice is either A or C.
2. p will have to be a square number
and -√p + -√p must be -1.
so p must be 1/4.
x^2 - 1x + 1/4 = (x - 1/2)(x - 1/2) and the coincidental roots are 1/2.
3. 3x^2 − x + 3 = 0
Work out the discriminant D (b^2 - 4ac).
D = (-1)^2 - 4*3*3 = -35
D is negative so the roots are complex.
4. I am assuming you mean the sum of the roots in equation
20x^2 - 40x = 120
Sum of roots = -b/a
= -(-40)/ 20
= 40/20
= 2.