Сократите дробь: (x^2-4)/(5x-x^2-6).

Ответ:

\[- x^{2} + 5x - 6 = 0\]

\[x^{2} - 5x + 6 = 0\]

\[x_{1} + x_{2} = 5;\ \ x_{1} \cdot x_{2} = 6\]

\[x_{1} = 3;\ \ x_{2} = 2\]

\[- x^{2} + 5x - 6 =\]

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

\[= (3 - x)(x - 2).\]