Question

Determine the nature of root of the following:

2x² − 3x + 4 = 0

Answer 1

Given:

2x² − 3x + 4 = 0

Identify coefficients

a = 2

b = −3

c = 4

D = b² − 4ac

D = (−3)² − 4(2)(4)

= 9 − 32

= −23

D = −23 < 0

The roots are complex and unequal (non-real).​