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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 C is correct. Since a product of two factors is equal to if and only if at least one of the factors is , either or . Subtracting from each side of the equation yields . Dividing each side of this equation by yields . Adding to each side of the equation yields . Dividing each side of this equation by yields . It follows that the solutions to the given equation are and . Therefore, is a solution to the given equation.
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 D is incorrect and may result from conceptual or calculation errors.