https://file.aiquickdraw.com/mathbot/file/17255874146579bxqvf8x.jpg

The equation in the image is \( x^3 = 216 \).

To solve for \( x \), we need to take the cube root of both sides:

\[
x = \sqrt[3]{216}
\]

Now, calculating the cube root of 216:

\[
\sqrt[3]{216} = 6
\]

Therefore, the solution to the equation is:

\[
x = 6
\]

Would you like more details on solving cube root equations? Here are 5 related questions:

1. What are some examples of solving other cubic equations?
2. How would the solution change if \( x^3 = -216 \)?
3. What methods can be used to approximate cube roots for non-perfect cubes?
4. How are cube roots related to exponents and radicals?
5. Can you solve \( x^4 = 81 \) using a similar method?

**Tip:** When solving cube root equations, it's important to remember that they can sometimes have negative solutions if the right-hand side is negative!

Learn how to solve the cubic equation x^3 = 216. This problem involves key algebraic concepts such as cubic equations and cube roots. The step-by-step solution explains how to calculate the cube root of 216, providing a solution of x = 6. Suitable for students in Grades 8-10.

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