Question

Find the solution(s) of the following equation.
\[c^2 = 121\]
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
\[c = 11\]
A
\[c = 11\]
(Choice B)
\[c = -11\]
B
\[c = -11\]
(Choice C)
\[c = 13\]
C
\[c = 13\]
(Choice D)
\[c = -13\]
D
\[c = -13\]
(Choice E) None of the above
E
None of the above

Answer 1

To solve the equation \(c^2 = 121\), we can take the square root of both sides.

The square root of \(121\) is \(11\). Therefore, we have:

\[
c = 11 \quad \text{or} \quad c = -11
\]

Checking the options:

- (Choice A) \(c = 11\) (Valid solution)
- (Choice B) \(c = -11\) (Valid solution)
- (Choice C) \(c = 13\) (Not a solution)
- (Choice D) \(c = -13\) (Not a solution)
- (Choice E) None of the above (Incorrect since A and B are valid)

Thus, the correct answers are:
- (Choice A) \(c = 11\)
- (Choice B) \(c = -11\)