Решите уравнение: 3/x+2/(x-1)=2.

\[\frac{3}{x} + \frac{2}{x - 1} = 2\ \ \ | \cdot x(x - 1)\]

\[3(x - 1) + 2x = 2x(x - 1)\]

\[3x - 3 + 2x = 2x^{2} - 2x\]

\[2x^{2} - 7x + 3 = 0\]

\[D = 49 - 24 = 25\]

\[x_{1} = \frac{7 + 5}{4} = 3;\]

\[x_{2} = \frac{7 - 5}{4} = \frac{2}{4} = 0,5.\]