Решебник по алгебре 8 класс Мерзляк Задание 614

\[\boxed{\mathbf{614\ (614).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ x² = 0\]

\[x = 0\]

\[Ответ:x = 0.\]

\[2)\ x² - 1 = 0\]

\[x^{2} = 1\]

\[x = 1,\ \ x = - 1\]

\[Ответ:x = 1;\ - 1.\]

\[3)\ x² + 5x = 0\]

\[x(x + 5) = 0\]

\[x = 0,\ \ x = - 5\]

\[Ответ:x = 0;\ - 5.\]

\[4) - 3x^{2} + 12 = 0\]

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

\[x² = 4\]

\[x = 2,\ \ x = - 2\]

\[Ответ:\ x = - 2;2.\]

\[5)\ 5x² - 6x = 0\]

\[x(5x - 6) = 0\]

\[x = 0,\ \ x = \frac{6}{5} = 1,2\]

\[Ответ:x = 0;1,2.\]

\[6)\ 0,2x² + 2 = 0\]

\[0,2x^{2} = - 2\]

\[x^{2} = - 10\]

\[Ответ:нет\ корней.\]

\[7)\ \frac{1}{6}x² - 5x = 0\]

\[x\left( \frac{1}{6}x - 5 \right) = 0\]

\[x = 0,\ \ x = 30\]

\[Ответ:x = 0;30.\]

\[8)\ x² - 2x + 1 = 0\]

\[(x - 1)^{2} = 0\]

\[x = 1\]

\[Ответ:x = 1.\]

\[9)\ 9x² + 30x + 25 = 0\]

\[(3x + 5)^{2} = 0\]

\[3x + 5 = 0\]

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

\[Ответ:\ x = - 1\frac{2}{3}.\]