Math Problem Statement
X; x^3=64
Solution
To solve the equation , we need to find the value of such that its cube equals 64.
Step-by-step solution:
- Start with the equation:
- To solve for , take the cube root of both sides:
- Since , the cube root of 64 is:
Thus, is the solution.
Would you like a more detailed explanation or have any questions?
Here are some related questions to consider:
- How do you calculate cube roots for negative numbers?
- What is the general method for solving equations involving higher powers, like ?
- How do cube roots apply in real-world scenarios?
- Can equations like have multiple solutions in complex numbers?
- How does cube root differ from square root in terms of their geometric interpretations?
Tip: To check your solution, always substitute the value of back into the original equation to verify it works.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Cube Roots
Formulas
x^3 = a, x = ∛a
Theorems
Cube root properties
Suitable Grade Level
Grades 8-10