Question

Solve the following equation by factorization:

8x² + 15 = 26x

Answer 1

Given,

⇒ 8x² + 15 = 26x

⇒ 8x² – 26x + 15 = 0

⇒ 8x² – 20x – 6x + 15 = 0

⇒ 4x(2x – 5) – 3(2x – 5) = 0

⇒ (2x – 5)(4x – 3) = 0

⇒ (2x – 5) = 0 or (4x – 3) = 0   ...[Using zero-product rule]

⇒ 2x = 5 or 4x = 3

⇒ `x = 5/2` or `x = 3/4`

Hence, `x = {5/2, 3/4}`.