Math Problem Statement
Solve the following equation: 9 = |3x|
Solution
The equation shown in the image is . Let's solve this step by step.
Step 1: Break down the absolute value equation.
The equation implies two possible equations:
Step 2: Solve both equations.
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For :
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For :
Final Solution:
The solutions are and .
Would you like further details or clarification on this? Here are 5 related questions you might find useful:
- How do you solve absolute value inequalities?
- Can you explain the concept of absolute value in more depth?
- How would the equation change if the constant was negative instead of positive?
- What happens if there's no solution to an absolute value equation?
- How do you graph solutions of absolute value equations?
Tip: When solving absolute value equations, always split the equation into two cases—one where the expression inside the absolute value is positive and one where it's negative.
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Math Problem Analysis
Mathematical Concepts
Algebra
Absolute Value
Linear Equations
Formulas
|Ax| = B implies Ax = B or Ax = -B
Theorems
Properties of Absolute Value
Suitable Grade Level
Grade 7-9