Question

find the real solutions to the equation.
192 = 3x³
x = \square
(simplify your answer. use a comma to separate answers as needed.)

Explanation:

Step1: Divide both sides by 3

To isolate \(x^3\), we divide both sides of the equation \(192 = 3x^3\) by 3.
\(\frac{192}{3}=\frac{3x^3}{3}\)
Simplifying, we get \(64 = x^3\).

Step2: Take the cube root of both sides

To solve for \(x\), we take the cube root of both sides of the equation \(x^3 = 64\).
\(x=\sqrt[3]{64}\)
Since \(4^3 = 64\), we have \(x = 4\).

Answer:

4