Which of the following is a solution to the equation ?

Question

Accepted Answer

Choice B is correct. Subtracting x 2 from both sides of the given equation yields x 2 - 4 = 0. Adding 4 to both sides of the equation gives x 2 = 4. Taking the square root of both sides of the equation gives x = 2 or x = -2. Therefore, x = 2 is one solution to the original equation. Alternative approach: Subtracting x 2 from both sides of the given equation yields x 2 - 4 = 0. Factoring this equation gives x 2 - 4 = ( x + 2)( x - 2) = 0, such that x = 2 or x = -2. Therefore, x = 2 is one solution to the original equation. Choices A, C, and D are incorrect and may be the result of computation errors.

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