Question

x-3/x=x-3/x-6
Решите уравнение плизз

Answer 1

$\frac{x - 3}{x} = \frac{x - 3}{x - 6} \\ (x - 3)( x - 6) = x( x - 3) \\ {x}^{2} - 6x - 3x + 18 = {x}^{2} - 3x \\ {x}^{2} - {x}^{2} - 6x - 3x + 3x = - 18 \\ - 6x = - 18 \\ x = 3$
Ответ: х= 3