We have, 3x2−4x+

20

3

=0 Comparing the given equation with the general form ax2 + bx + c = 0,
we get
a = 3 , b = - 4 , c =

20

3

∴ x =

−b±√b2−4ac

2a

=

−(−4)±√(−4)2−4×3×( 20 3 )

2×3

=

4±√16−80

6

=

4±√−61

6

=

4±8i

6

=

2±4i

3

=

2

3

±

4

3

i