Question

1/x-1 + 2/x+1 =3/x
verify your answer
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Answer 1

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

Answer 2

Step-by-step explanation:

1. 3x=3x
2. that's is your answer