Question

Solve the following equation by factorization:

`5x - 35/x = 18`

Answer 1

Given,

⇒ `5x - 35/x = 18`

⇒ `(5x^2 - 35)/x = 18`

⇒ 5x² – 35 = 18x

⇒ 5x² – 18x – 35 = 0

⇒ 5x² – 25x + 7x – 35 = 0

⇒ 5x(x – 5) + 7(x – 5) = 0

⇒ (5x + 7)(x – 5) = 0

⇒ 5x + 7 = 0 or (x – 5) = 0   ...[Using zero-product rule]

⇒ 5x = –7 or x = 5

⇒ x = `(-7)/5` or x = 5

Hence, `x = {5, (-7)/5}`.