Use inspection to solve the equation x^2=81 , then select the complete solution set below. If there are no real solutions, select “There are no real solutions.”(1 point)

Question

Responses

{−9}
left brace negative 9 right brace

{9}
left brace 9 right brace

{−9,9}
left brace negative 9 comma 9 right brace

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

Answer 1

To solve the equation \( x^2 = 81 \) using inspection, we can take the square root of both sides.

The equation can be rewritten as:

\[ x = \pm \sqrt{81} \]

Calculating the square root of 81 gives us:

\[ x = \pm 9 \]

This means the solutions to the equation are \( x = 9 \) and \( x = -9 \).

Therefore, the complete solution set is:

\[ {-9, 9} \]

So the correct response is:

\({-9, 9}\)