Question

Determine the nature of root of the following:

x² − 4x + 2 = 0

Answer 1

Given:

x² − 4x + 2 = 0

Identify the coefficients

a = 1

b = −4

c = 2

D = b² − 4ac

D = (−4)² − 4(1)(2)

= 16 − 8

= 8

Discriminant D = 8 > 0

But 8 is not a perfect square

The roots are real, irrational, and unequal.​