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

{−9,9}
left brace negative 9 comma 9 right brace

{9}
left brace 9 right brace

{−9}
left brace negative 9 right brace

There are no real solutions.

Answer 1

To solve the equation \( x^2 = 81 \) by inspection, we can take the square root of both sides. The equation can be rewritten as:

\[ x = \pm \sqrt{81} \]

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:

\[ { -9, 9 } \]

So, the correct response is:

{−9, 9}