Question

Without solving, examine the nature of roots of the equation 2x² + 2x + 3 = 0

Answer 1

Comparing 2x² + 2x + 3 = 0 with ax² + bx + c = 0

we get: a = 2, b = 2 and c = 3

D = b² – 4ac = (2)² – 4 × 2 × 3 = 4 – 24

= – 20; which is negative.

∴ The roots of the given equation are imaginary