Use inspection to solve the equation xexponent2=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
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1 answer
To solve the equation \( x^2 = 81 \) by inspection, we can take the square root of both sides.
Taking the square root gives:
\[ x = \pm 9 \]
This means there are two solutions: \( x = 9 \) and \( x = -9 \).
Thus, the complete solution set is:
\[ { -9, 9 } \]
So the correct response is:
\({ -9, 9 }\)
