Question

Solve the following equation by factorization:

x² – 11x = 42

Answer 1

Given,

⇒ x² – 11x = 42

⇒ x² – 11x – 42 = 0

⇒ x² – 14x + 3x – 42 = 0

⇒ x(x – 14) + 3(x – 14) = 0

⇒ (x + 3)(x – 14) = 0

⇒ x + 3 = 0 or x – 14 = 0   ...[Using zero-product rule]

⇒ x = –3 or x = 14

Hence, x = {14, –3}.