Question

Solve `(1200/x + 2)(x - 10) - 1200 = 60`

Answer 1

`(1200/x + 2)(x - 10) - 1200 = 60`

= `(12000/x) (x - 10) + 2(x - 10) - 1200 = 60`

= `1200 - 12000/x + 2x - 20 - 1200 = 60`

= `2x - 20 - 12000/x = 60`

= `2x - 12000/x = 80`

Multiply both sides by x:

2x² − 12000 = 80x

2x² − 80x − 12000 = 0

Divide by 2:

x² − 40x − 6000 = 0

Factor:

(x − 100)(x + 60) = 0

x = 100 or x = −60