Сократите дробь: (x^2+9x+14)/(x^2-49).

Ответ:

\[\frac{x^{2} + 9x + 14}{x^{2} - 49} = \frac{(x + 7)(x + 2)}{(x + 7)(x - 7)} =\]

\[= \frac{x + 2}{x - 7}.\]

\[x^{2} + 9x + 14 = (x + 7)(x + 2)\]

\[x_{1} + x_{2} = - 9;\ \ x_{1} \cdot x_{2} = 14\]

\[x_{1} = - 7;\ \ x_{2} = - 2.\]