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

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

• A. 4
• B. 6
• C. 4
• D. 8

Answer: (C)

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

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