Question

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) 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} left brace negative 9 right brace

Answer 1

To solve the equation \( x^2 = 81 \) using inspection, we look for numbers whose square equals 81.

The solutions are:

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

Therefore, the complete solution set is \({ -9, 9 }\).

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