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Which of the following equations is NOT equal to the quadratic equation below?

  1. x = 4

  2. x = -4

  3. x = 8

  4. x = -8

The correct answer is: x = 4

To solve this equation, we need to isolate the variable x. First, we need to divide both sides of the equation by 2 to get x² = 8. Then, we can take the square root of both sides to eliminate the exponent and get x = ±√8. Finally, we can simplify √8 to get x ≈ ±2.83, which means that x can equal either 2.83 or -2.83. Since option C and D are both incorrect due to the fact that they do not include the ± sign and only give one value for x, we can eliminate them as possible answers. Option B can also be eliminated as multiplying -4 by itself does not equal 16. The only remaining option is A, which correctly represents the two possible solutions for x, 4 and -4. Therefore, A is the correct answer.