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Nonlinear equations in one variable and systems of equations in two variables SAT question

Math · Advanced Math · Easy · Answer it here, explanation included.

If open parenthesis, x plus 5, close parenthesis, squared, equals 4, which of the following is a possible value of x ?

ExplanationShow

Choice D is correct. If open parenthesis, x plus 5, close parenthesis, squared, equals 4, then taking the square root of each side of the equation gives x plus 5, equals 2 or x plus 5, equals negative 2. Solving these equations for x gives x equals negative 3 or x equals negative 7. Of these, negative 3 is the only solution given as a choice.

Choice A is incorrect and may result from solving the equation x plus 5, equals 4 and making a sign error. Choice B is incorrect and may result from solving the equation x plus 5, equals 4. Choice C is incorrect and may result from finding a possible value of x plus 5.

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