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

{−9}
left brace negative 9 right brace

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

{9}
left brace 9 right brace

There are no real solutions.

Answer 1

To solve the equation \( x^2 = 81 \) using inspection, we look for values of \( x \) that, when squared, equal 81.

The square root of 81 is 9, and since squaring can yield both positive and negative results, we have:

• \( x = 9 \)
• \( x = -9 \)

Thus, the complete solution set is:

\({ -9, 9 }\)

So the correct response is:

{−9, 9}