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Question
Solve:
`1/(18 - x) - 1/(18 + x) = 1/24` and x > 0
Solution
Given quadratic equation is `1/(18 - x) - 1/(18 + x) = 1/24`
`=> ((18 + x) - (18 - x))/((18 + x) (18 - x)) = 1/24`
`=> (2x)/(18^2 - x^2) = 1/24`
`=>` 48x + 324 – x2
`=>` x2 + 48x – 324 = 0
`=>` x2 + 54x − 6x − 324 = 0
`=>` x(x + 54) − 6(x + 54) = 0
`=>` (x + 54)(x − 6) = 0
`=>` x = −54 or x = 6
But as x > 0, so x can't be negative.
Hence, x = 6
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