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

x2 – 6x + 4 = 0

Given: x2 – 6x + 4 = 0

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


a = 1, b = – 6, c = 4


Discriminant D = b2 – 4ac


= (6)2 – 4.1.4


= 36 – 16 = 20 > 0


Hence the roots of equation are real.


Roots are given by





Hence the roots of equation are


3