Question

ПОИОГИТЕ ПОЖАЛУЙСТА СРОЧНО ОЧЕНЬ НАДО

Answer 1

Ответ:

–3, –1, 2, 6

Объяснение:

Замена:

$\displaystyle\frac{{{x^2} - 3x - 6}}{x} = t,$

тогда

$t - \displaystyle\frac{8}{t} = - 2;\\\\{t^2} + 2t - 8 = 0;\\\\\left\{ \begin{array}{l}{t_1} + {t_2} = - 2,\\{t_1}{t_2} = - 8;\end{array} \right.\\\\{t_1} = - 4,\,\,{t_2} = 2.$

1)

$\begin{array}{l}\displaystyle\frac{{{x^2} - 3x - 6}}{x} = - 4;\\\\{x^2} - 3x - 6 = - 4x;\\\\{x^2} + x - 6 = 0;\\\\\left\{ \begin{array}{l}{x_1} + {x_2} = - 1,\\{x_1}{x_2} = - 6;\end{array} \right.\\\\{x_1} = - 3,\,\,{x_2} = 2.\end{array}$

2)

$\displaystyle\frac{{{x^2} - 3x - 6}}{x} = 2;\\\\{x^2} - 3x - 6 = 2x;\\\\{x^2} - 5x - 6 = 0;\\\\\left\{ \begin{array}{l}{x_3} + {x_4} = 5,\\{x_3}{x_4} = - 6;\end{array} \right.\\\\{x_3} = - 1,\,\,{x_4} = 6.$