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प्रश्न
Solve equation using factorisation method:
`(1 + 1/(x+1))(1-1/(x-1)) = 7/8`
योग
उत्तर
`(1 + 1/(x+1))(1-1/(x-1)) = 7/8`
Step 1: Expand the left-hand side
`(1+ 1/(x-1))(1- 1/(x-1)) = 1-1/(x-1) + 1/(x+1) - 1/((x+1)(x-1))`
`1 - 1/(x-1) + 1/(x+1)- 1/(x^2-1) = 7/8`
Combine fractions with common denominators where necessary. We'll simplify and solve for x.
The solutions to the equation
`(1 + 1/(x+1))(1-1/(x-1)) = 7/8`
x = −5 and x = 5
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