(Q1)Find the discriminant of the quadratic equation 2x2- 4x + 3 = 0, and hence find the nature of its roots.

The given equation is in the form of ax2 + bx + c = 0, where a = 2,b = -4 and c = 3.Therefore,the discriminant

b2- 4ac = (-)2 - (4 × × ) = - = - < 0

So, the given equation has no real roots.