ГДЗ по алгебре 9 класс Макарычев ФГОС Задание 100

\[\boxed{\text{101.\ }\text{ОК\ ГДЗ\ -\ домашка\ на\ 5}}\]

\[\textbf{а)}\ y = 7x^{2} - 6x - 1\]

\[7x^{2} - 6x - 1 = 0\]

\[D_{1} = 9 + 7 = 16\]

\[x_{1} = \frac{3 + 4}{7} = 1;\ \ \]

\[\ x_{2} = \frac{3 - 4}{7} = - \frac{1}{7}.\]

\[Ответ:x = - \frac{1}{7};\ \ x = 1.\]

\[\textbf{б)}\ y = \sqrt{7 - 14x}\]

\[7 - 14x = 0\]

\[- 14x = - 7\]

\[x = \frac{7}{14} = \frac{1}{2}\]

\[x = 0,5.\]

\[Ответ:x = 0,5.\]

\[\textbf{в)}\ y = \frac{2x + 3}{9 - 4x^{2}}\]

\[9 - 4x^{2} \neq 0\]

\[4x^{2} \neq 9\]

\[x \neq \pm \frac{3}{2} \neq \pm 1,5.\]

\[2x + 3 = 0\]

\[2x = - 3\]

\[x = - 1,5.\]

\[Ответ:нет\ нулей\ функции.\]

\[\textbf{г)}\ y = \frac{5x - 1}{x^{2} + 16}\]

\[x^{2} + 16 \neq 0\]

\[x^{2} \neq - 16\]

\[x - любое\ число.\]

\[5x - 1 = 0\]

\[5x = 1\]

\[x = 0,2.\]

\[Ответ:x = 0,2.\]