Solve. x² – 121 = 0 (1 point) Responses 0 0 –11 –11 11 11 11, –11 11, –11

Answer 1

To solve x² – 121 = 0, we can use the difference of squares formula.

The formula states that for any equation in the form a² - b² = 0, we can factor it as (a + b)(a - b) = 0.

In this case, our equation is x² - 121 = 0. We can rewrite 121 as 11².

So, we have x² - 11² = 0.

Using the difference of squares formula, we can factor it as:

(x + 11)(x - 11) = 0.

Now, we can set each factor to zero and solve for x:

x + 11 = 0 or x - 11 = 0

For x + 11 = 0, we can subtract 11 from both sides:

x = -11

For x - 11 = 0, we can add 11 to both sides:

x = 11

Therefore, the solutions to the equation x² - 121 = 0 are x = -11 and x = 11.