The given equation is:

\[
x^3 + 4 = 10
\]

### Steps to solve for \( x \):

1. Subtract 4 from both sides to isolate the cubic term:
   \[
   x^3 = 10 - 4
   \]
   \[
   x^3 = 6
   \]

2. Take the cube root of both sides to solve for \( x \):
   \[
   x = \sqrt[3]{6}
   \]

Thus, the solution is:
\[
x = \sqrt[3]{6} \approx 1.817
\]

Would you like further explanation or details on this? Here are 5 related questions to consider:

1. What is the cube root function, and how does it work?
2. How can you verify if the cube root solution is correct?
3. What happens if the cubic term has a coefficient, like \( 2x^3 + 4 = 10 \)?
4. How can you approximate cube roots without a calculator?
5. What are the properties of cubic equations?

**Tip:** Cube roots can be both positive and negative, so always check for both cases when solving cubic equations.

Learn how to solve the cubic equation x^3 + 4 = 10 with step-by-step guidance. Understand key algebraic concepts like isolating the cubic term and using cube roots. This solution is ideal for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation