Find the discriminant of the quadratic equation 2x²-4x+3=0 and hence find the nature of its roots

The given quadratic equation is 2x² - 4x + 3 = 0
we have a = 2  ;  b = -4  ;  c = 3
$D = b^2 - 4ac = (-4{)}^2 - 4(2\left)\right(3) = 16 - 24 = -8$

Since, D < 0 , so the given equation has no real roots.