Question

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

2x² + x – 1 = 0

Answer 1

The equation 2x² + x – 1 = 0 has two real and distinct roots.

D = b² – 4ac

= 1² – 4(2)(–1)

= 1 + 8 > 0

Hence, the roots are real and distinct.