Question

Determine the nature of roots of the quadratic equation m² + 2m + 9 = 0.

Activity:

m² + 2m + 9 = 0

a = `square`, b = 2, c = 9

b² − 4ac = 2² − 4 × 1 × `square`

= `square` − 36

∴ b² − 4ac = `square`

∴ b² − 4ac < 0

∴ The roots of the quadratic equation are not real.

Answer 1

m² + 2m + 9 = 0

a = \[\boxed{1}\], b = 2, c = 9

b² − 4ac = 2² − 4 × 1 × \[\boxed{9}\]

= \[\boxed{4}\] − 36

∴ b² − 4ac = \[\boxed{-32}\]

∴ b² − 4ac < 0

∴ The roots of the quadratic equation are not real.