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

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

{−9}

Answer 1

To solve the equation \( x^2 = 81 \) using inspection, we can find the values of \( x \) that make this equation true.

Taking the square root of both sides gives:

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

Since \( \sqrt{81} = 9 \), we have:

\[ x = 9 \quad \text{or} \quad x = -9 \]

Thus, the complete solution set is:

\[ {-9, 9} \]

So, the correct response is:

\({−9, 9}\)