Find the discriminant of each of the following equations:
(x – 1)(2x – 1) = 0
Given: (x – 1)(2x – 1) = 0
2x2 – 3x + 1 = 0
Comparing with standard quadratic equation ax2 + bx + c = 0
a = 
, b = 
, c = – 1
Discriminant D = b2 – 4ac
= (– 3)2 – 4.2.1
= 9 – 8 = 1
1