Solving Algebraic Equations: Understanding x3 21

In this article, we will explore the solution of the equation x3 21.

Introduction to Algebraic Equations

Algebraic equations are mathematical statements that use variables, such as x, to represent unknown values. These equations often involve operations such as addition, subtraction, multiplication, and division. In the case of the equation x3 21, the task is to determine the value of x that satisfies this equation.

Step-by-Step Solution

The equation x3 21 can be solved by following these steps:

Method 1: Subtracting 3 from Both Sides

Starting with the given equation:

x3 21

We can subtract 3 from both sides to simplify:

x3 - 3 21 - 3

This simplifies to:

x 18

Method 2: Simplifying the Expression

Another approach is to directly simplify the expression. Notice that:

3x 21 - 1

This simplifies to:

3x 20

Dividing both sides by 3 gives:

x 20 / 3

Therefore, the value of x is approximately 6.67.

Alternative Methods

Other methods to solve the equation x3 21 include:

Subtracting the Same Term from Both Sides

To maintain equality, we subtract the same term from both sides:

x3 - 3 21 - 3

This simplifies to:

x 18

Rephrasing the Equation

We can also rephrase the equation to isolate x on one side:

x3 21

Subtract 3 from both sides:

x3 - 3 21 - 3

This simplifies to:

x 18

Conclusion

In conclusion, the value of x in the equation x3 21 can be determined through various methods. The most straightforward approach is to subtract the same term from both sides, resulting in:

x 18

Understanding and applying these methods can be helpful in solving similar algebraic equations.