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

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

{9}

Answer 1

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

The values we find are:

• \( x = 9 \) because \( 9^2 = 81 \)
• \( x = -9 \) because \( (-9)^2 = 81 \)

Both \( 9 \) and \( -9 \) satisfy the equation.

Thus, the complete solution set is:

\[ { -9, 9 } \]

So, the correct response is \( { -9, 9 } \).