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Question
Solve the following equation by factorization:
`5x - 35/x = 18`
Sum
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Solution
Given,
⇒ `5x - 35/x = 18`
⇒ `(5x^2 - 35)/x = 18`
⇒ 5x2 – 35 = 18x
⇒ 5x2 – 18x – 35 = 0
⇒ 5x2 – 25x + 7x – 35 = 0
⇒ 5x(x – 5) + 7(x – 5) = 0
⇒ (5x + 7)(x – 5) = 0
⇒ 5x + 7 = 0 or (x – 5) = 0 ...[Using zero-product rule]
⇒ 5x = –7 or x = 5
⇒ x = `(-7)/5` or x = 5
Hence, `x = {5, (-7)/5}`.
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