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. 3x 2 – 4x + 1 = 0

Philoid · Accepted Answer

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.