To find the value of xx, we need to compute the cube root of 2023. The cube root xx satisfies x3=2023x^3 = 2023.
Step-by-Step Solution:
- Finding the Cube Root:
- Calculate the cube root of 2023: x=20233x = \sqrt[3]{2023}
- Approximating the Value:
- 20233\sqrt[3]{2023} is approximately 12.63480759.
- Verification:
- To verify, compute 12.63480759312.63480759^3 to check if it equals 2023.
Mathematical Context:
The cube root of a number yy, denoted as y3\sqrt[3]{y}, is the value xx such that x3=yx^3 = y. In this case, y=2023y = 2023.
Practical Applications:
Cube roots are fundamental in various mathematical and scientific applications, including:
- Engineering calculations,
- Physics formulas,
- Statistical analysis,
- Computer graphics,
- Cryptography.
Conclusion:
The solution to x3=2023x^3 = 2023 is x=20233x = \sqrt[3]{2023}, which is approximately 12.63480759. This value satisfies the equation, demonstrating the practical application of cube roots in mathematical problem-solving and real-world scenarios.