Решите уравнение: (5x+3)/(x+5)=(3x+1)/(x+2).

Ответ:

\[\frac{5x + 3}{x + 5} = \frac{3x + 1}{x + 2}\]

\[\frac{5x + 3}{x + 5} - \frac{3x + 1}{x + 2} = 0\]

\[2x² - 3x + 1 = 0\]

\[x_{1} + x_{2} = 1,5\]

\[x_{1} \cdot x_{2} = 0,5\]

\[\Longrightarrow x_{1} = 0,5;\ \ x_{2} = 1.\]

\[Ответ:x = 0,5;x = 1.\]