What are the solutions to x^2−121=0 enter the lesser number first

Question

x=? x=?

Answer 1

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

\[ x^2 = 121 \]

Next, we take the square root of both sides. Remember that taking the square root yields both a positive and a negative solution:

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

Calculating the square root of 121, we find:

\[ \sqrt{121} = 11 \]

Thus, we have:

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

Putting the lesser value first, the solutions are:

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

So the final answers are:

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