Solving Simple Quadratic Equations Quick Check

Question

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

There are no real solutions.
There are no real solutions.

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

Answer 1

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

Taking the square root gives us: \[ x = 9 \] and \[ x = -9 \]

So, the complete solution set is: \({-9, 9}\)

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