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प्रश्न
Solve `(1 + 1/(x + 1))(1-1/(x - 1)) = 7/8`
उत्तर
`(1 + 1/(x + 1))(1-1/(x - 1)) = 7/8`
`=> ((x + 1 + 1)/(x + 1))((x - 1 - 1)/(x - 1)) = 7/8`
`=> ((x + 2)/(x + 1))((x -2)/(x - 1)) = 7/8`
`=> (x^2 - 4)/(x^2 - 1) = 7/8`
`=> (x^2 - 4)/(x^2 - 1) = 7/8`
`=> 8x^2 - 32 = 7x^2 - 7`
`=> x^2 = 25`
`=> x = +- 5`
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