Question

Use the square root property to solve the equation. The equation has real number solutions.
left parenthesis x plus 3 right parenthesis squaredequals9
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Part 1
xequals
  
enter your response here
​(Simplify your answer. Type an exact​ answer, using radicals as needed. Use a comma to separate answers as​ needed.)

Answer 1

To solve the equation \((x + 3)^2 = 9\) using the square root property, we first take the square root of both sides. This gives us two possible equations:

\[
x + 3 = 3 \quad \text{and} \quad x + 3 = -3
\]

Now, we'll solve each equation:

1. **For the first equation:**
\[
x + 3 = 3
\]
Subtract 3 from both sides:
\[
x = 3 - 3 = 0
\]

2. **For the second equation:**
\[
x + 3 = -3
\]
Subtract 3 from both sides:
\[
x = -3 - 3 = -6
\]

Thus, the solutions to the equation \((x + 3)^2 = 9\) are:

\[
x = 0, -6
\]

In simplified form, you can express the answer as:

\[
\boxed{0, -6}
\]