Question

Solve the following quadratic equation using square roots: (x+3)^2=36
.(1 point)
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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:
\[
\sqrt{(x+3)^2} = \sqrt{36}
\]
This simplifies to:
\[
x + 3 = 6 \quad \text{or} \quad x + 3 = -6
\]

2. Solve each equation separately:

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

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

3. The solutions to the equation \((x+3)^2 = 36\) are:
\[
x = 3 \quad \text{and} \quad x = -9
\]

Thus, the final answer is:
\[
x = 3 \quad \text{or} \quad x = -9
\]