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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Medium
What is the sum of the solutions to the given equation?
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Explanation
The correct answer is . The given quadratic equation can be rewritten in factored form as . Based on the zero product property, it follows that or . Adding to both sides of the equation yields . Subtracting from both sides of the equation yields . Therefore, the solutions to the given equation are and . It follows that the sum of the solutions to the given equation is , or .