ГДЗ по алгебре и начала математического анализа 10 класс Колягин Задание 34

\[\boxed{\mathbf{34}.}\]

\[1)\ |x| = 1,5\]

\[x = \pm 1,5.\]

\[2)\ |5x| = 8\]

\[5x = \pm 8\]

\[x = \pm 1,6.\]

\[3)\ 5|x| = \frac{1}{3}\ \ |\ :5\]

\[|x| = \frac{1}{15}\]

\[x = \pm \frac{1}{15}.\]

\[4)\ |x - 1| = 2\]

\[x - 1 = \pm 2\]

\[x - 1 = 2;\ \ \ \ x - 1 = - 2\]

\[x = 3;\ \ \ \ \ \ \ \ \ \ \ x = - 1.\]

\[5)\ |2 - x| = 7\]

\[2 - x = \pm 7\]

\[2 - x = 7;\ \ \ \ \ \ 2 - x = - 7\]

\[x = - 5;\ \ \ \ \ \ \ \ \ \ x = 9.\]

\[6)\ |2x - 4| = 6\]

\[2x - 4 = \pm 6\]

\[2x - 4 = 6;\ \ \ \ \ 2x - 4 = - 6\]

\[2x = 10\ \ \ \ \ \ \ \ \ \ \ \ 2x = - 2\]

\[x = 5\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = - 1.\]