Question

Solve using factorization method: (1+1/x+1) (1-1/x-1) = 7/8​

Answer 1

Answer:

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$(1 + \frac{1}{x + 1} ) \: (1 - \frac{1}{x - 1)} = \frac{7}{8} \\ ⇒( \frac{x + 1 + 1}{x + 1} ) \: ( \frac{x - 1 - 1}{x - 1} ) = \frac{7}{8} \\ ⇒( \frac{x + 2}{x + 1} ) \: ( \frac{x - 2}{x - 1} ) = \frac{7}{8} \\ ⇒ \frac{ {x}^{2} - 4 }{ {x}^{2} - 1 } = \frac{7}{8} \\ ⇒{8x}^{2} - 32 = {7x}^{2} - 7 \\ ⇒ {x}^{2} = 25 \\ ⇒x = 5$

Answer 2

Answer:

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