Question

1/x - 1/x-2 = 3 and x is not equal to 2,0

Answer 1

Step-by-step explanation:

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

$- 2 = 3x {}^{2} - 6x \\ \\ \\ 3x {}^{2} - 6x + 2 = 0 \\ \\ \\ \\ \\ x = \frac{6 + \sqrt{12} }{6} \\ \\ \\ \\ \\ x = \frac{3 + \sqrt{3} }{3} \: or \: \frac{3 - \sqrt{3} }{3}$

I can't add a plus or minus sign in the Quadratic formula, so I just considered the + one but it will not be difficult to find the other one