Question

6. Solve for x: x+1/x-1 + x-2/x+1 = 3

Answer 1

x = 2, -3

Step-by-step explanation:

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

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

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

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

${x}^{2} + x - 6 = 0$

${x}^{2} + 3x - 2x - 6 = 0$

$x(x + 3) - 2(x + 3) = 0$

$(x + 3)(x - 2) = 0$

$x = - 3 \quad2$

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Answer 2

Answer:

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Step-by-step explanation:

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