Решите уравнение: |x-1|+|x-2|=3.

\[|x - 1| + |x - 2| = 3\]

\[- (x - 1) - (x - 2) = 3\]

\[- x + 1 - x + 2 - 3 = 0\]

\[- 2x = 0\]

\[x = 0.\]

\[\ x - 1 - (x - 2) = 3\]

\[x - 1 - x + 2 - 3 = 0\]

\[- 2 = 0 \Longrightarrow \ \ нет\ решения.\]

\[x - 1 + x - 2 = 3\]

\[2x - 3 = 3\]

\[2x = 6\]

\[x = 3.\]

\[Ответ:0;3.\]