[tex]x\neq0 \: \: \: \: \: \: x\neq2 \\ \frac{4}{x - 2} - \frac{2}{x} = \frac{3x - x}{ {x}^{2} - 2x } \\ \frac{4}{x - 2} - \frac{2}{x} - \frac{2x}{x(x - 2)} = 0 \\ \frac{4x - 2(x - 2) - 2x}{x(x - 2)} = 0 \\ 4x - 2x + 4 - 2x = 0 \\ 4\neq0[/tex]
Ответ: нет корней
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[tex]x\neq0 \: \: \: \: \: \: x\neq2 \\ \frac{4}{x - 2} - \frac{2}{x} = \frac{3x - x}{ {x}^{2} - 2x } \\ \frac{4}{x - 2} - \frac{2}{x} - \frac{2x}{x(x - 2)} = 0 \\ \frac{4x - 2(x - 2) - 2x}{x(x - 2)} = 0 \\ 4x - 2x + 4 - 2x = 0 \\ 4\neq0[/tex]
Ответ: нет корней