Question #6445505Fill in the Blank
Algebra-1
Question
Solve the absolute value equation . The solutions are or .
Answer & Analysis
Analysis
Question Analysis
This question tests the basic understanding of solving an absolute value equation. The student needs to recognize that the absolute value of a number is its distance from zero, and thus, the equation has two solutions: and .
This question tests the basic understanding of solving an absolute value equation. The student needs to recognize that the absolute value of a number is its distance from zero, and thus, the equation has two solutions: and .
Key Concept Explanation
The key concept here is the definition of absolute value. The absolute value of a number is defined as: Therefore, implies that can be either 8 or -8.
The key concept here is the definition of absolute value. The absolute value of a number is defined as: Therefore, implies that can be either 8 or -8.
Step-by-step Solution
1. Recognize the basic rule for absolute value equations:
1. Recognize the basic rule for absolute value equations:
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