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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Hard
What is the positive solution to the given equation?
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Explanation
The correct answer is . The given equation can be rewritten as . Dividing each side of this equation by yields . By the definition of absolute value, if , then or . Subtracting from each side of the equation yields . Dividing each side of this equation by yields . Similarly, subtracting from each side of the equation yields . Dividing each side of this equation by yields . Therefore, since the two solutions to the given equation are and , the positive solution to the given equation is .