Question

1/x- 1/x-2=3 find the value of x​

Answer 1

Step-by-step explanation:

1/x-1/x-2=3

the value of x= 0

Answer 2

$\frac{1}{x} - \frac{1}{x - 2} = 3 \\ \\ \frac{(x - 2 )- x}{x(x - 2)} = 3 \\ \\ \frac{ - 2}{ {x}^{2} - 2x} = 3 \\ \\ - 2 = 3( {x}^{2} - 2x) \\ \\ - 2 = 3 {x}^{2} - 6x \\ \\ 3 {x}^{2} - 6x + 2 = 0\\ \\ by \: discriminent \: formula \\ \\ x = \frac{ - b \:± \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x = \frac{6 ± \sqrt{36 - 24} }{6} \\ \\ x = \frac{6 \: ± \: \sqrt{12} }{6} \\ \\ x = \frac{6 \: ± 3\sqrt{2} }{6} \\ \\ x = \frac{2 \:± \sqrt{3} }{2}$

Hope it helps uhh☺