1 of 51 of 5 Items
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
{9}
left brace 9 right brace
{−9}
left brace negative 9 right brace
{−9,9}
left brace negative 9 comma 9 right brace
There are no real solutions.
There are no real solutions.
Skip to navigation
1 answer
To solve the equation \(x^2 = 81\) by inspection, we can take the square root of both sides. The equation implies that:
\[ x = \pm \sqrt{81} \]
Calculating the square root, we find:
\[ \sqrt{81} = 9 \]
Thus, the solutions are:
\[ x = 9 \quad \text{and} \quad x = -9 \]
Therefore, the complete solution set is:
\[ {-9, 9} \]
The correct response is:
\({-9, 9}\)
