If x² = 49, what are the possible values of x?

When solving the equation ( x^2 = 49 ), the goal is to determine the values of ( x ) that satisfy this equality. The first step is to take the square root of both sides of the equation. However, it is crucial to remember that squaring a number yields a positive result, meaning both positive and negative roots must be considered.

When you take the square root of 49, you find that it can be either 7 or -7 since both ( 7^2 ) and ( (-7)^2 ) equal 49. Thus, the complete solution set includes both values.

The possible values of ( x ) are therefore 7 and -7, making this answer comprehensive as it captures both roots of the equation derived from the squaring operation. Hence, the correct response reflects this understanding by listing both possible values.