Question

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

3x² – 4x + 1 = 0

Answer 1

The equation 3x² – 4x + 1 = 0 has two real and distinct roots.

D = b² – 4ac

= (–4)² – 4(3)(1)

= 16 – 12 > 0

Hence, the roots are real and distinct.