Question

Solve the following equation by factorization:

(x + 3)(x – 3) = 27

Answer 1

Given,

⇒ (x + 3)(x – 3) = 27

⇒ (x)² – (3)² = 27

⇒ x² – 9 = 27

⇒ x² = 27 + 9

⇒ x² = 36

⇒ `x = sqrt(36)`

⇒ x = ± 6

Hence, x = {6, –6}.