Решите уравнение: (x-2)/2,5=6/x.

\[\frac{x - 2}{2,5} = \frac{6}{x};\ \ \ x \neq 0\]

\[x(x - 2) = 6 \cdot 2,5\]

\[x^{2} - 2x = 15\]

\[x^{2} - 2x - 15 = 0\]

\[D_{1} = 1 + 15 = 16\]

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

\[x_{2} = 1 - 4 = - 3.\]

\[Ответ:x = - 3;x = 5.\]