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

Question

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 \(±4\).