Question

Solve x2=144
using square roots. You must show all work to earn full credit.

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(2 points)

Answer 1

To solve the equation \( x^2 = 144 \) using square roots, follow these steps:

1. **Identify the equation:**
\[
x^2 = 144
\]

2. **Take the square root of both sides:**
By taking the square root, we get:
\[
x = \pm \sqrt{144}
\]

3. **Calculate the square root of 144:**
\[
\sqrt{144} = 12
\]
So we have:
\[
x = \pm 12
\]

4. **Write the final solutions:**
The solutions to the equation \( x^2 = 144 \) are:
\[
x = 12 \quad \text{or} \quad x = -12
\]

Thus, the answer is:
\[
x = 12 \quad \text{and} \quad x = -12
\]