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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Medium
What is the product of the solutions to the given equation?
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Explanation
Choice D is correct. By the zero-product property, if , then
,
, or
. Solving each of these equations for
yields
,
, or
. The product of these solutions is
.
Choice A is incorrect and may result from sign errors made when solving the given equation. Choice B is incorrect and may result from finding the sum, not the product, of the solutions. Choice C is incorrect and may result from finding the sum, not the product, of the solutions in addition to making sign errors when solving the given equation.