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प्रश्न
Solve the following equation by factorization
`x + (1)/x = 2(1)/(20)`
उत्तर
`x + (1)/x = 2(1)/(20)`
⇒ 20x2 + 20 = 41x
⇒ 20x2 - 41x + 20 = 0
⇒ 20x2 - 16x - 25x + 20 = 0
⇒ 4x(5x - 4) -5(5x - 4) = 0
⇒ (5x - 4) (4x - 5) = 0
Either 5x - 4 = 0,
then 5x = 4
⇒ x = `(4)/(5)`
or
4x - 5 = 0,
then 4x = 5
⇒ x = `(5)/(4)`
Hence x = `(4)/(5), (5)/(4)`.
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