Final answer:
The equation x^2 = 16 has two solutions, x = 4 and x = -4, because squaring either a positive or negative number can result in a positive square.
Step-by-step explanation:
To solve the equation x^2 = 16, we can take the square root of both sides, which gives us two possible solutions for x. Taking the square root of 16 gives us 4, but since squaring a negative number also results in a positive number, we have to consider that x could be both positive and negative, so the two solutions are:
Therefore, the correct answers are B. x = -4 and A. x = 4.