If x² = 16, what are the possible values of x?

To determine the possible values of ( x ) from the equation ( x² = 16 ), we need to isolate ( x ). Taking the square root of both sides of the equation gives us ( x = \sqrt{16} ) or ( x = -\sqrt{16} ).

Calculating the square root of 16 gives us 4, so the two possible solutions are ( x = 4 ) and ( x = -4 ). This reflects the property of square roots that both the positive and negative values satisfy the original equation since squaring either results in a positive value, which is 16 in this case.

Thus, the correct answer, with the values of ( x ) being 4 and -4, highlights the fact that both answers satisfy the condition ( x² = 16 ). This understanding reinforces the principle that equations involving squares can lead to two distinct solutions due to their symmetrical nature on the number line.