Question

Select all the solutions to this equation.

x2 = 121
x = 11
x = 21
x = 61
x = –11
x = –21

Answer 1

The equation \( x^2 = 121 \) can be solved by taking the square root of both sides. This results in:

\[
x = \pm \sqrt{121}
\]

Calculating the square root gives:

\[
x = \pm 11
\]

Thus, the solutions to the equation \( x^2 = 121 \) are:

- \( x = 11 \)
- \( x = -11 \)

From the options provided:

- \( x = 11 \) (solution)
- \( x = 21 \) (not a solution)
- \( x = 61 \) (not a solution)
- \( x = -11 \) (solution)
- \( x = -21 \) (not a solution)

The correct solutions are \( x = 11 \) and \( x = -11 \).