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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Medium
Which of the following is a solution to the given equation?
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Explanation
Choice D is correct. Adding to both sides of the given equation yields . To complete the square, adding , or , to both sides of this equation yields , or . Taking the square root of both sides of this equation yields , or . Subtracting from both sides of this equation yields . Therefore, the solutions to the given equation are and . Of these two solutions, only is given as a choice.
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.