Question

Solve the following quadratic equation using square roots: (x+3^)2=36.(1 point)

Answer 1

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

1. **Take the square root of both sides**:
\[
x + 3 = \pm 6
\]

2. **Solve for \(x\) in each case**:
- Case 1: \(x + 3 = 6\)
\[
x = 6 - 3 = 3
\]
- Case 2: \(x + 3 = -6\)
\[
x = -6 - 3 = -9
\]

3. **Final solutions**:
\[
x = 3 \quad \text{or} \quad x = -9
\]

So, the solutions to the equation \((x + 3)^2 = 36\) are \(x = 3\) and \(x = -9\).