Question #6445502Fill in the Blank
Algebra-1
Question
Solve the absolute value equation. The solutions are or .
Answer & Analysis
Analysis
Question Analysis
This question tests the ability to solve an absolute value equation with a linear expression inside the absolute value. The equation has two solutions, and .
This question tests the ability to solve an absolute value equation with a linear expression inside the absolute value. The equation has two solutions, and .
Key Concept Explanation
The key concept here is to set up and solve both the positive and negative cases for the absolute value expression. This involves isolating the absolute value expression and then solving the resulting linear equations.
The key concept here is to set up and solve both the positive and negative cases for the absolute value expression. This involves isolating the absolute value expression and then solving the resulting linear equations.
Step-by-step Solution
1. Set up the two equations: and .
2. Solve each equation:
For
1. Set up the two equations: and .
2. Solve each equation:
For
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