ГДЗ по алгебре 8 класс Макарычев ФГОС Задание 1095

\[\boxed{\text{1095.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]

\[\textbf{а)}\ 6x² - 3x = 0\]

\[3x(2x - 1) = 0\]

\[x_{1} = 0;\ \ \]

\[x_{2} = \frac{1}{2} = 0,5.\]

\[Ответ:x = 0;x = 0,5.\]

\[\textbf{б)}\ x² + 9x = 0\]

\[x(x + 9) = 0\]

\[x_{1} = 0;\ \ x_{2} = - 9.\]

\[Ответ:x = 0;x = - 9.\]

\[\textbf{в)}\ x² - 36 = 0\]

\[(x - 6)(x + 6) = 0\]

\[x_{1} = 6;\ \ x_{2} = - 6.\]

\[Ответ:x = \pm 6.\]

\[\textbf{г)}\ 5x² + 1 = 0\]

\[5x² = - 1\ \]

\[x² = - \frac{1}{5} \Longrightarrow корней\ нет.\]

\[Ответ:решений\ нет.\]

\[\textbf{д)}\ 0,5x² - 1 = 0\]

\[0,5x^{2} = 1\]

\[x^{2} = 2\]

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

\[Ответ:x = \pm \sqrt{2}.\]

\[\textbf{е)}\ 0,6x + 9x² = 0\]

\[9x\left( x + \frac{1}{15} \right) = 0\]

\[x_{1} = 0;\ \ \ x_{2} = - \frac{1}{15}.\]

\[Ответ:x = 0;\ \ x = - \frac{1}{15}.\]