Question

Use the rules of equations and inverse operations to solve the equation.

3x^2=48


±4
-4
±2
4

Answer 1

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 that when you take the square root, you must consider both the positive and negative roots:

\[
x = \pm \sqrt{16}
\]

3. **Calculate the square root**:

\[
x = \pm 4
\]

So the solutions to the equation \(3x^2 = 48\) are:

\[
x = 4 \quad \text{and} \quad x = -4
\]

Thus, the answers are \(±4\).