Solve, 1200/x-1200/x+10=10
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Answer:Here, the given expression is,
(\frac{1200}{x}+2)(x-10)-1200=60
⇒ \frac{1200(x-10)}{x}+2(x-10)=60+1200
⇒ \frac{1200x-12000}{x}+2x-20=1260
⇒ \frac{1200x-12000+2x^2-20x}{x}=1260
⇒ 1200x-12000+2x^2-20x=1260x
⇒ 1180x-12000+2x^2-1260x=0
⇒ -80x+2x^2-12000=0
⇒ 2x^2-80x-12000=0
⇒ x^2-40x-6000=0
⇒ x^2-100x+60x-6000=0 ( By splitting middle term )
⇒ x(x-100)+60(x-100)=0
⇒ (x+60)(x-100)=0
Hence, x = -60 or x = 100
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