Question

State whether the quadratic equation 2x² + x – 1 = 0 have two distinct real roots. Justify your answer.

Answer 1

The equation 2x² – 6x + (9/2) = 0 has real and equal roots.

D = b² – 4ac

= (-6)² – 4(2) (9/2)

= 36 – 36 = 0

Hence, the roots are real and equal.