Question which-

2.2 Nonlinear Equations in One Variable - Quadratic solving (factoring, quadratic formula, completing square)
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x squared, equals 64

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

A.

negative 8

B.

4

C.

32

D.

128

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

Easy-difficulty · SAT Math · Nonlinear Equations in One Variable — Quadratic solving (factoring, quadratic formula, completing square). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

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.