Question

Determine whether the following equation has real roots or not. If yes, find them:

3x² − 2x + 2 = 0

Answer 1

Given:

3x² − 2x + 2 = 0

a = 3, b = −2, c = 2

D = b² − 4ac

D = (−2)² − 4(3) (2)

= 4 − 24

= −20

Since D = −20 < 0, the discriminant is negative.

The given equation has no real roots.​