Find the discriminant of the following quadratic equations and discuss the nature of the roots:

6x² — 13x + 6 = 0

Comparing equation 6x² — 13x + 6 = 0 with ax² + bx + c = 0 we get

a = 6, b = – 13 and c = 6

Discriminant (D) = b² – 4ac

⇒ D = (– 13)² – 4(6)(6)

⇒ D = 169 – 4 × 36

⇒ D = 169 – 144

⇒ D = 25

As D > 0 roots of equation 6x² — 13x + 6 = 0 are real and distinct