Question

For which of the following values of c is x = -2 a solution to the equation (x + c)' = 25?

a. -7
b. -3
c. 2
d. 10

Answer 1

To find the correct value of c for which x = -2 is a solution to the equation (x + c)^2 = 25, plug in x = -2 and solve for c, yielding c = -7 as the answer.

Step-by-step explanation:

The student is asking for the value of c for which x = -2 is a solution to the equation (x + c)^2 = 25. To find the value of c, we can plug in x = -2 into the equation and solve for c:

(-2 + c)^2 = 25

If we take the square root of both sides, we get two possible equations:

• -2 + c = 5
• -2 + c = -5

Solving each equation for c gives us two potential results:

1. c = 5 + 2 = 7
2. c = -5 + 2 = -7

Since only one of the given options is -7, option a. -7 is the correct answer.