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

Question

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

Philoid · Accepted Answer

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.