Решебник по алгебре 9 класс Макарычев Задание 1036

\[\boxed{\text{1036\ (1036).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[(2x + 1)\left( x^{4} - 5x^{2} + 4 \right) = 0\]

\[1)\ 2x + 1 = 0,\ \ x = - \frac{1}{2},\]

\[2)\ x^{4} - 5x^{2} + 4 = 0\]

\[x^{2} = c,\ \ c \geq 0,\]

\[c² - 5c + 4 = 0\]

\[D = 25 - 16 = 9,\]

\[c_{1} = \frac{5 + 3}{2} = 4,\ \ \]

\[c_{2} = \frac{5 - 3}{2} = 1,\]

\[x^{2} = 4,\ \ x = \pm 2,\]

\[x^{2} = 1,\ \ x = \pm 1.\]

\[Ответ:x = - \frac{1}{2},x = \ \pm 2,\ x = \pm 1.\]