Final answer:
To determine the values of x in the equation x² = 49, we find the positive and negative square roots of 49, which are 7 and -7 respectively.
Step-by-step explanation:
The student is asking how to determine the values of x in the equation x² = 49. This is a simple algebraic problem that involves finding the square root of a number.
To solve the equation, we will take the square root of both sides.
The square root of 49 is 7, but since we are dealing with a squared term, we must consider both the positive and negative roots.
Therefore, the two values for x are x = 7 and x = -7.