Question

Without solving, comment upon the nature of roots of the following equation:

2x² + 8x + 9 = 0

Answer 1

2x² + 8x + 9 = 0

a = 2, b = 8 and c = 9

∴ Discriminant = b² – 4ac

= (8)² – 4(2)(9)

= 64 – 72

= – 8

= a negative value

Since D < 0, then equation has no real roots.