Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

3x2 – 2x + 2 = 0

Given: 3x2 – 2x + 2 = 0

Comparing with standard quadratic equation ax2 + bx + c = 0


a = 3, b = – 2, c = 2


Discriminant D = b2 – 4ac


= (– 2)2 – 4.3.2


= 4 – 24 = – 20 < 0


Hence the roots of equation do not exist


20