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Question
Sovle for x:
`2800/(x - 100) - 2800/x = 1/2`
Sum
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Solution
`2800/(x - 100) - 2800/x = 1/2`
⇒ `(2800x - 2800(x - 100))/(x(x - 100)) = 1/2`
⇒ `(2800x - 2800x + 280000)/(x^2 - 100x) =1/2`
⇒ 2(280000) = x2 − 100x
⇒ 560000 = x2 − 100x
⇒ x2 − 100x − 560000 = 0
⇒ x2 − 800x + 700x − 560000 = 0
⇒ x(x − 800) + 700(x − 800) = 0
⇒ (x + 700)(x − 800) = 0
⇒ x = −700 or x = 800
Hence, x = 800.
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Chapter 5: Quadratic Equations - EXERCISE 5 (B) [Page 54]
