Question

Determine the nature of root of the following:

x² + x + 1 = 0

Answer 1

Given:

x² + x + 1 = 0

Identify the coefficients

a = 1

b = 1

c = 1

D = b² − 4ac

D = (1)² − 4(1)(1)

= 1 − 4

= −3

Discriminant D = −3 < 0

The roots are complex (imaginary) and unequal.