Question

Solve the following equation by factorization:

3x² + 11x + 10 = 0, when x ∈ I

Answer 1

Given,

⇒ 3x² + 11x + 10 = 0

⇒ 3x² + 6x + 5x + 10 = 0

⇒ 3x(x + 2) + 5(x + 2) = 0

⇒ (3x + 5)(x + 2) = 0

⇒ 3x + 5 = 0 or x + 2 = 0   ...[Using zero-product rule]

⇒ 3x = –5 or x = –2

⇒ x = `(-5)/3` or x = –2

Since, x ∈ I

x = –2

Hence, x = {–2}.