Question

Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52

Answer 1

Answer: Did you mean (x - 3)² = 49? If so, the answers are -4 and 10

Step-by-step explanation: This equation is a simple quadratic. We can square root both sides to get:

x - 3 = -7

OR

x - 3 = 7

(Remember 49 has a positive square root and a negative square root)

Now simple rearranging will yield our two answers: 10 and -4.

Answer 2

(x – 3)2 = 49 can be written as (x – 3) = ± √49.

To solve for x, we can square root both sides:

x -3 = ±7

Now we can add 3 to both sides:

x = 3 ±7

So the values of x are:

x = 3 + 7 = 10

x = 3 - 7 = -4

Hence the values of x are -4 and 10.

Explanation: