Question

x-3/x=2. pls do factorisation ​

Answer 1

$x - \frac{3}{x} = 2 \\ take \: l.c.m \\ \frac{ {x}^{2} - 3 }{x} = 2 \\ {x}^{2} - 3 = 2x \\ {x}^{2} - 2x - 3 \\ factorise \: now \\ {x}^{2} - 2x - 3 = 0 \\ {x}^{2} + x - 3x - 3 = 0 \\ x(x + 1) - 3(x + 1) \\ (x - 3)(x + 1) \\ either \: (x - 3) = 0 \: or \: (x + 1) = 0 \\ x = 3 \: or \: - 1$