Question

Sovle for x:

`2800/(x - 100) - 2800/x = 1/2`

Answer 1

`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.