Question

Slove 3/x-1-2/x-2=1/x-3​

Answer 1

Answer:

check the attachment for the answer..

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Answer 2

Answer:

$\frac{3}{x - 1} - \frac{2}{x - 2} = \frac{1}{x - 3} \\ \\ \frac{3(x - 2) - 2(x - 1)}{(x - 1)(x - 2)} = \frac{1}{x - 3} \\ \\ \frac{3x - 6 - 2x + 2}{(x - 1)(x - 2)} = \frac{1}{x - 3} \\ \\ \frac{x - 4}{(x - 1)(x - 2)} = \frac{1}{x - 3} \\ \\ (x - 4)(x - 3) = 1(x - 1)(x - 2) \\ \\ {x}^{2} - 3x - 4x + 12 = 1( {x}^{2} - 2 - x + 2) \\ \\ {x}^{2} - 7x + 12 = {x}^{2} - 2 - x + 2 \\ \\ {x}^{2} - {x}^{2} - 7x + x = - 12 \\ \\ - 6x = - 12 \\ \\ x = \frac{ - 12}{ - 6} \\ \\ x = 2$

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