Question #6445520Fill in the Blank
Algebra-1
Question
Solve the equation . The solutions are or .
Answer & Analysis
Analysis
Question Analysis
This question tests the ability to solve absolute value equations with a different coefficient and constant term. The problem involves isolating the absolute value expression and solving for both the positive and negative cases.
This question tests the ability to solve absolute value equations with a different coefficient and constant term. The problem involves isolating the absolute value expression and solving for both the positive and negative cases.
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 requires algebraic manipulation and solving linear equations.
The key concept here is to set up and solve both the positive and negative cases for the absolute value expression. This requires algebraic manipulation and solving linear equations.
Step-by-step Solution
1. Set up two equations: and .
2. Solve each equation:
For :
1. Subtract 9 from both sides:
1. Set up two equations: and .
2. Solve each equation:
For :
1. Subtract 9 from both sides:
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