Question

Solve the following equation by factorization:

x² – x = 156

Answer 1

Given,

⇒ x² – x = 156

⇒ x² – x – 156 = 0

⇒ x² – 13x + 12x – 156 = 0

⇒ x(x – 13) + 12(x – 13) = 0

⇒ (x + 12)(x – 13) = 0

⇒ x + 12 = 0 or x – 13 = 0   ...[Using zero-product rule]

⇒ x = –12 or x = 13

Hence, x = {13, –12}.