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

Question

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: x 2 – 6x + 4 = 0

Philoid · Accepted Answer

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