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}
left brace negative 9 right brace

{9}
left brace 9 right brace

{−9,9}

Answer 1

To solve the equation \( x^2 = 81 \) by inspection, we can think about what values of \( x \) would make \( x^2 \) equal to 81.

We know that:

• \( 9^2 = 81 \)
• \( (-9)^2 = 81 \)

Thus, both \( x = 9 \) and \( x = -9 \) satisfy the equation.

Therefore, the complete solution set is {−9, 9}.