Solve the equation using square roots.x2−100=0(1 point)Responses-100, 100-100, 100No real number solutionsNo real number solutions±10−−√plus or minus square root of 10-10, 10

Answer 1

To solve the equation \( x^2 - 100 = 0 \), we start by isolating \( x^2 \):

\[ x^2 = 100 \]

Next, we take the square root of both sides. Remember to account for both the positive and negative roots:

\[ x = \pm \sqrt{100} \]

Calculating the square root:

\[ \sqrt{100} = 10 \]

Thus, we get:

\[ x = \pm 10 \]

This means the solutions to the equation are:

\[ x = 10 \quad \text{and} \quad x = -10 \]

Therefore, the correct response is:

-10, 10