Answer:
Option D is the correct answer.
Explanation:
Properties of roots of ax²+bx+c=0 are decided by discriminant b²- 4ac
If b²- 4ac > 0 real and distinctive roots
If b²- 4ac = 0 equal roots
If b²- 4ac < 0 imaginary roots
We have 3x²-4x+5=0
a = 3, b = -4 and c = 5
b²- 4ac = (-4)²-4 x 3 x 5 = 16 - 60 = -44 < 0
So roots are imaginary.
Option D is the correct answer.