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

{−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.

Answer 1

To solve the equation \( x^2 = 81 \) by inspection, we can think of numbers whose squares equal 81.

The two numbers that satisfy this are:

1. \( 9 \) because \( 9^2 = 81 \)
2. \( -9 \) because \( (-9)^2 = 81 \)

Thus, the complete solution set is:

\({ -9, 9 }\)

So, the correct response is:

\({ -9, 9 }\)