ГДЗ по алгебре 9 класс Макарычев Задание 56

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Пояснение.

Решение.

\[\textbf{а)}\ x^{2} - 7x = 0\]

\[x(x - 7) = 0\]

\[x_{1} = 0\ \ \ и\ \ x_{2} = 7.\]

\[Ответ:x = 0;\ \ x = 7.\]

\[\textbf{б)}\ 2x - 5 = 0\]

\[2x = 5\]

\[x = 2,5\]

\[Ответ:x = 2,5.\]

\[\textbf{в)}\ y^{3} - 4y = 0\]

\[y\left( y^{2} - 4 \right) = 0\]

\[y(y - 2)(y + 2) = 0\]

\[y_{1} = 0,\ \ y_{2} = 2,\ \ y_{3} = - 2.\]

\[Ответ:y = 0;\ \ y = \pm 2.\]

\[4)\ y^{4} - 16 = 0\]

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

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

\[y_{1} = 2,\ \ y_{2} = - 2.\]

\[Ответ:y = \pm 2.\]