Question

1/x-1/x-2=3
pls ask answer pls

Answer 1

Answer:

$\frac{1}{x} - \frac{1}{x - 2} = 3 \\ \frac{(x - 2) - x}{x(x - 2)} = 3 \\ \frac{x - 2 - x}{{x}^{2} - 2x } = 3 \\ - 2 = 3 {x}^{2} - 6x \\ 3 {x}^{2} - 6x + 2 = 0 \\ 3 {x}^{2} - 6x = - 2 \\ 3x(x - 2) = - 2 \\ 3x = - 2 \\ x = \frac{ - 2}{3} \\ x = 2$

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