Use the square root property to solve the equation.​(xplus9​)squaredequals1Question content area bottomPart 1The​ solution(s) is/are xequalsenter your response here.​(Simplify your​ answer, including any radicals. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as​ needed.)

Answer 1

To solve the equation \((x + 9)^2 = 1\) using the square root property, follow these steps:

1. Apply the square root: Take the square root of both sides of the equation: \[ x + 9 = \pm \sqrt{1} \]

2. Calculate the square root: \(\sqrt{1} = 1\), so we have: \[ x + 9 = 1 \quad \text{or} \quad x + 9 = -1 \]

3. Solve for \(x\):

   • For the first equation: \[ x + 9 = 1 \quad \Rightarrow \quad x = 1 - 9 \quad \Rightarrow \quad x = -8 \]

   • For the second equation: \[ x + 9 = -1 \quad \Rightarrow \quad x = -1 - 9 \quad \Rightarrow \quad x = -10 \]

4. Final Solutions: The solutions to the equation \((x + 9)^2 = 1\) are: \[ x = -8, -10 \]

So your final answer is: \[ -8, -10 \]