Question

Solve the following equation by factorization:

x² + 17 = 18x

Answer 1

Given,

⇒ x² + 17 = 18x

⇒ x² – 18x + 17 = 0

⇒ x² – 17x – x + 17 = 0

⇒ x(x – 17) – 1(x – 17) = 0

⇒ (x – 1)(x – 17) = 0

⇒ x – 1 = 0 or x – 17 = 0   ...[Using zero-product rule]

⇒ x = 1 or x = 17

Hence, x = {1, 17}.