Math Problem Statement

Find the extraneous solution of the equation |x - 8| = 3x.

Solution

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Math Problem Analysis

Mathematical Concepts

Absolute Value
Linear Equations

Formulas

|x - a| = b

Theorems

Property of absolute value

Suitable Grade Level

Grades 9-10

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Finding Extraneous Solutions in Absolute Value Equations |x - 8| = 3x

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Solving Absolute Value Equation |x + 8| = 3

Solving Absolute Value Equation |3x - 1| = 8x

Solving Absolute Value Equation 8 + 2|3 - x| = 8