Question

Find the value of k for which the equation 3x² – 6x + k = 0 has distinct and real roots.

Answer 1

3x² – 6x + k = 0

Here, a = 3, b = – 6 and c = k

Since the roots are distinct and real,

b² – 4ac > 0

⇒ (– 6)² – 4 × 3 × k > 0

⇒ 36 – 12k > 0

⇒ 36 > 12k

⇒ 3 > k

⇒ k < 3