Question

1/x-1/x-2=3
plzzz solve this quadratic equation by factrisation method ​

Answer 1

Answer:

$\frac{1}{x} - \frac{1}{x - 2} = 3 \\ or \: \frac{1(x - 2) - 1 \times x}{x(x - 2)} = 3 \\ or \: \frac{x - 2 - x}{ {x}^{2} - 2 } = 3 \\ \:or \: 3 {x}^{2} - 6 = - 2 \\ or \: 3 {x}^{2} = - 2 + 6 \\ or \: 3 {x}^{2} = 4 \\ or \: \: {x }^{2} = \frac{4}{3} \\ or \: x = \frac{2}{ \sqrt{3} }$