If x² = 49, what is the value of x - 3?

To find the value of ( x - 3 ) given that ( x^2 = 49 ), we first need to solve for ( x ). The equation ( x^2 = 49 ) can be solved by taking the square root of both sides, leading to two possible solutions for ( x ):

1. ( x = 7 )

2. ( x = -7 )

Next, we need to evaluate ( x - 3 ) for both values of ( x ):

1. For ( x = 7 ):

[

x - 3 = 7 - 3 = 4

]

2. For ( x = -7 ):

[

x - 3 = -7 - 3 = -10

]

Since the question asks for the value of ( x - 3 ), and there is an option that represents the value we got from ( x = 7 ), which is 4, the correct answer is indeed the value corresponding to ( x = 7 ).

Thus, the correct solution, which is ( x - 3 = 4 ) when ( x = 7 ), aligns