Question

Solve the following equation by factorization:

3x² + 8 = 10x

Answer 1

Given,

⇒ 3x² + 8 = 10x

⇒ 3x² – 10x + 8 = 0

⇒ 3x² – 6x – 4x + 8 = 0

⇒ 3x(x – 2) – 4(x – 2) = 0

⇒ (x – 2)(3x – 4) = 0

⇒ (x – 2) = 0 or (3x – 4) = 0   ...[Using zero-product rule]

⇒ x = 2 or 3x = 4

⇒ x = 2 or x = `4/3`

Hence, `x = {2, 4/3}`.