Question

1/(x-1) + 1/(x+2) = 3/(x-3)​

Answer 1

Answer:

1/(x-1) + 1/(x+2) = 3/(x-3)

Answer 2

$(c) \: \sqrt{3} .$

Step-by-step explanation:

$\frac{1}{x - 1} + \frac{1}{x - 2} = \frac{3}{x - 3} \\ \\ \frac{1(x - 2) + 1(x - 1)}{(x - 1)(x - 2)} = \frac{3}{x - 3} \\ \\ \frac{x - 2 + x - 1}{ {x}^{2} - 2x - x + 2 } = \frac{3}{x - 3} \\ \\ \frac{2x - 3}{ {x}^{2} - 3x + 2} = \frac{3}{x - 3} \\ \\ (2x - 3)(x - 3) = 3( {x}^{2} - 3x + 2) \\ \\ {2x}^{2} - 6x - 3x + 9 = {3x}^{2} - 9x + 6 \\ \\ {2x}^{2} - {3x}^{2} - 9x + 9x + 9 - 6 = 0 \\ \\ - {x}^{2} + 3 = 0 \\ \\ {x}^{2} - 3 = 0 \\ \\ {x}^{2} = 3 \\ \\ x = \sqrt{3} .$

hopefully its helped u dear :)