ГДЗ по алгебре и начала математического анализа 10 класс Колягин Задание 61

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\[1)\ |5x - 1| = 0\]

\[5x - 1 = 0\]

\[5x = 1\]

\[x = 0,2.\]

\[Ответ:x = 0,2.\]

\[2)\ |0,5x + 3| = 1\]

\[0,5x + 3 = 1;\ \ \ \ 0,5x + 3 = - 1\]

\[0,5x = - 2\ \ \ \ \ \ \ \ \ \ 0,5x = - 4\]

\[x = - 4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = - 8.\]

\[Ответ:x = - 8;\ - 4.\]

\[3)\ |x + 2| = - 2\]

\[Ответ:нет\ корней.\]

\[4)\ |7 - x| = - 0,1\]

\[Ответ:нет\ корней.\]

\[5)\ |3x - 5| = 1\]

\[3x - 5 = 1;\ \ \ \ \ 3x - 5 = - 1\]

\[3x = 6\ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x = 4\]

\[x = 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = \frac{4}{3} = 1\frac{1}{3}.\]

\[Ответ:x = 1\frac{1}{3};\ \ 2.\]

\[6)\ |1 - 2x| = 5\]

\[1 - 2x = 5;\ \ \ \ \ 1 - 2x = - 5\]

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

\[x = - 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ x = 3.\]

\[Ответ:x = - 2;3.\]