Step-by-step explanation:
[tex]2x { }^{2} - 4x +3 = 0[/tex]
from the equation,
a = 2
b = -4
c = 3
using the discriminant :
[tex]b {}^{2} - 4ac[/tex] = (-4)² - 4(2)(3)
= 16 - 24
= -8
since the discriminant, b² - 4ac < 0, the equation has no real roots/ has imaginary roots.