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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.

x squared, equals 64

Which of the following values of x satisfies the given equation?

ExplanationShow

Choice A is correct. Solving for x by taking the square root of both sides of the given equation yields x equals 8 or x equals negative 8. Of the choices given, negative 8 satisfies the given equation.

Choice B is incorrect and may result from a calculation error when solving for x. Choice C is incorrect and may result from dividing 64 by 2 instead of taking the square root. Choice D is incorrect and may result from multiplying 64 by 2 instead of taking the square root.

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