Question
Use the rules of equations and inverse operations to solve the equation.
3x^2 = 48
±4
±2
-4
4
3x^2 = 48
±4
±2
-4
4
Answers
GPT-4o mini
To solve the equation \( 3x^2 = 48 \), follow these steps:
1. **Divide both sides by 3** to isolate \( x^2 \):
\[
x^2 = \frac{48}{3} = 16
\]
2. **Take the square root of both sides**. Remember, this will give both the positive and negative roots:
\[
x = \pm \sqrt{16}
\]
\[
x = \pm 4
\]
The solutions are \( 4 \) and \( -4 \), so the answer is:
\[
\pm 4
\]
1. **Divide both sides by 3** to isolate \( x^2 \):
\[
x^2 = \frac{48}{3} = 16
\]
2. **Take the square root of both sides**. Remember, this will give both the positive and negative roots:
\[
x = \pm \sqrt{16}
\]
\[
x = \pm 4
\]
The solutions are \( 4 \) and \( -4 \), so the answer is:
\[
\pm 4
\]