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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
Choice D is correct. Adding to each side of the given equation yields . To complete the square, adding , or , to each side of this equation yields , or . Taking the square root of each side of this equation yields . Adding to each side of this equation yields . Therefore, the solutions to the given equation are and . The sum of these solutions is , or .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.