Question

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

x² - 6x + 4 = 0

Answer 1

Given

x² - 6x + 4 = 0

On comparing it with ax² + bx + c = 0, we get

a = 1, b = - 6 and c = 4

Discriminant D is given by:

D = (b² - 4ac)

= (-6)² - 4 x 1 x 4

= 36 - 16

= 20>0

Hence, the roots of the equation are real. 

Roots α and β are given by

Thus, the roots of the equation are (3 + 2√5) and (3 - 2√5).