Question

State whether the following quadratic equations have two distinct real roots. Justify your answer.

x² – 3x + 4 = 0

Answer 1

The equation x² – 3x + 4 = 0 has no real roots.

D = b² – 4ac

= (–3)² – 4(1)(4)

= 9 – 16 < 0

Hence, the roots are imaginary.