Algebra · Absolute value · Equations with parameter · Case analysis
Find all values \(a \in \mathbb{R}\) for which the equation
\[ |x - a| + |a - 1| = 1 \]
has two solutions, and determine those solutions.
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Serbian Municipal Competition 1999, high school grade I, category A, problem 5. Organized by the Mathematical Society of Serbia (DMS). Source