Use inspection to solve the equation x2=81, then select the complete solution set below. If there are no real solutions, select “There are no real solutions.”(1 point)

Question

Responses

There are no real solutions.
There are no real solutions.

{9}
left brace 9 right brace

{−9}
left brace negative 9 right brace

{−9,9}

Answer 1

To solve the equation \( x^2 = 81 \) by inspection, we can consider what values of \( x \) would make the square equal to \( 81 \).

Taking the square root of both sides, we find:

\[ x = \sqrt{81} \quad \text{or} \quad x = -\sqrt{81} \]

Calculating the square root:

\[ \sqrt{81} = 9, \]

Thus, we have:

\[ x = 9 \quad \text{and} \quad x = -9. \]

Therefore, the complete solution set is:

\[ {-9, 9}. \]

The correct response is:

\({-9, 9}\).