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. x 2 - 3x + 4 = 0

Philoid · Accepted Answer

The equation x² - 3x + 4 = 0 has no real roots.

∴ D = b² - 4ac

= (-3)² - 4(1)(4)

= 9 – 16 < 0

Hence, the roots are imaginary.