Question

Solve the following equation by factorization:

16x² = 25

Answer 1

Given,

⇒ 16x² = 25

⇒ 16x² – 25 = 0

⇒ (4x)² – (5)² = 0

⇒ (4x + 5)(4x – 5) = 0

⇒ 4x + 5 = 0 or 4x – 5 = 0   ...[Using zero-product rule]

⇒ 4x = –5 or 4x = 5

⇒ `x = (-5)/4` or `x = 5/4`

Hence, `x = {5/4, (-5)/4}`.