What are the solutions to x^2−121=0

Question

? Enter the lesser number first.(1 point)
x=___, x=___

Answer 1

To solve the equation \( x^2 - 121 = 0 \), we can start by adding 121 to both sides:

\[ x^2 = 121 \]

Next, we take the square root of both sides:

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

Calculating the square root of 121, we get:

\[ \sqrt{121} = 11 \]

Thus, the solutions are:

\[ x = 11 \quad \text{and} \quad x = -11 \]

Now, ordering the solutions with the lesser number first, we have:

\[ x = -11, \quad x = 11 \]

So, the final answer is:

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