Question

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} 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 look for numbers whose squares equal 81.

The square roots of 81 are both 9 and -9, since:

\[ 9^2 = 81 \quad \text{and} \quad (-9)^2 = 81 \]

Therefore, the complete solution set is:

\[ {-9, 9} \]

So the correct response is:

{−9, 9}