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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Hard
What is the sum of the solutions to the given equation?
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Explanation
The correct answer is . Subtracting from each side of the given equation yields . By the definition of absolute value, if , then or . Adding to each side of the equation yields . Adding to each side of the equation yields . Therefore, the solutions to the given equation are and , and it follows that the sum of the solutions to the given equation is , or .