Question

Solve for x

x+1/x-1+x-2/x+1=3 ​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

$\frac{x + 1}{x - 1} + \frac{x - 2}{x + 1} = 3$

$\frac{(x + 1) {}^{2} + (x - 2)(x - 1) }{(x - 1)(x + 1)} = 3$

$\frac{( {x}^{2} + 2x + 1) + ( {x}^{2} - 3x + 1)}{ {x}^{2} - 1} = 3$

$\frac{ {x}^{2} + 2x + 1 + {x}^{2} - 3x + 1 }{ {x}^{2} - 1} = 3$

$2 {x}^{2} + x + 2 = 3 {x}^{2} - 3 \\ x = {x}^{2} - 5$