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Question
Solve:
`(1200/x + 2)(x - 10) - 1200 = 60`
Solution
`(1200/x + 2)(x - 10) - 1200 = 60`
⇒ `2(600/x + 1)(x - 10) = 1260`
⇒ `(600/x + 1)(x - 10) = 630`
⇒ `((600 + x)/x)(x - 10) = 630`
⇒ 600x – 6000 + x2 – 10x = 630x
⇒ x2 – 40x – 6000 = 0
⇒ x2 – 100x + 60x – 6000 = 0
⇒ x(x – 100) + 60(x – 100) = 0
⇒ (x – 100)(x + 60) = 0
⇒ x – 100 = 0 or x + 60 = 0
⇒ x = 100 or x = – 60
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