To solve the equation \( x^2 - 121 = 0 \), we can first isolate \( x^2 \):
\[ x^2 = 121 \]
Next, we take the square root of both sides:
\[ x = \pm \sqrt{121} \]
Since \( \sqrt{121} = 11 \), we have:
\[ x = 11 \quad \text{or} \quad x = -11 \]
Thus, the solutions to the equation \( x^2 - 121 = 0 \) are:
\(-11\) and \(11\).
When entering the solutions with the lesser number first, we write:
\(-11, 11\)