Solve the absolute value equation . The solutions are and .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve an absolute value equation. The key is to set up two separate equations based on the definition of absolute value.
Key Concept Explanation
The absolute value of a number is its distance from zero on the number line, always non-negative. To solve an absolute value equation, we isolate the absolute value expression and set up two separate equations: one with the positive value and one with the negative value.
Step-by-step Solution
1. Isolate the absolute value expression:
2. Set up two equations: and
3. Solve each equation:
For
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