Use inspection to solve the equation x2=81

Question

, then select the complete solution set below. If there are no real solutions, select “There are no real solutions.”(1 point)
Responses

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

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

{9}
left brace 9 right brace

{−9}

Answer 1

To solve the equation \( x^2 = 81 \) by inspection, we can recognize that the square root of 81 is 9. However, since squaring either 9 or -9 gives us 81, there are two solutions.

Thus, the complete solution set is:

\({-9, 9}\).

So, the correct response is:

{−9,9}