Question

Solving Simple Quadratic Equations Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
Solve the following quadratic equation using square roots: (x+3)2=36
.(1 point)
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Remaining Attempts : 3
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Answer 1

To solve the quadratic equation \((x + 3)^2 = 36\) using square roots, follow these steps:

1. **Take the square root of both sides**:
\[
x + 3 = \pm \sqrt{36}
\]

2. **Calculate the square root**:
\[
x + 3 = \pm 6
\]

3. **Separate into two equations**:
- First equation:
\[
x + 3 = 6
\]
- Second equation:
\[
x + 3 = -6
\]

4. **Solve each equation**:
- From \(x + 3 = 6\):
\[
x = 6 - 3
\]
\[
x = 3
\]

- From \(x + 3 = -6\):
\[
x = -6 - 3
\]
\[
x = -9
\]

5. **Final Solutions**:
So, the solutions to the quadratic equation \((x + 3)^2 = 36\) are:
\[
x = 3 \quad \text{and} \quad x = -9
\]