July 22, 2024

x*x*x is equal to 2023: Full Solution of Equation

4 min read
xxx is equal to 2023

Through this article, you will get to know the solution that, how the expression x*x*x is equal to 2023. We will be using mathematical tools to justify our answers. This expression has the power of 3, which means the expression is in cubic form.

Primarily this expression is an example of Algebra, or we can call it an Algebraic expression. There are so many complex topics in mathematics and one of the common topics, yet a difficult topic for the student is the algebra. It is a topic that does not have any end even if masters are still studying it.

The above expression,  x*x*x is equal to 2023 and can written as equation  () = 2023. First of all, we will be telling you about basic questions like, what is algebra? How can you solve this question? What is the square root method? And a few more things to know about.

In this article, we will solve the equation to verify whether the given equation is correct or not.

Get to know about the Algebraic Algorithms

In mathematics, the algebraic expression variables are used. Variables can be letters or symbols, and they are used for the representation of numerical forms. In the given expression x*x*x is equal to 2023, 2023 does not represent the year 2023, here it is a numeric data, given to define the relationship between the equations. Similarly, in this expression, letters and symbols are written to indicate the numerical values.

Steps to Calculate x*x*x is equal to 2023

Step 1: Simplify

  • First, we need to write the equation in simplest form such that the term x*x*x is equal to 2023 and can written as  () = 2023.

Step 2: Apply the cube root method

  • Now to apply the cube root method, we need to apply cube root on both sides to remove the power. Now, we can pick out the term ‘x’.

Step 3: Isolation of the term

  •  The isolation in mathematics refers to the rearrangement of the value of terms. It is used to simplify the equation to ease and effectively calculate.

  x = ∛2023

∛ (cube root) is used to represent the cube root on the value 2023.

Now, calculate the cube root of 2023, we will use the calculator to make it easier as the calculation of ∛2023 is not easy.

After doing the calculation, make sure that the outcome must be a real number.

Step 4: outcome when multiplied three times should result in the value equal to 2023.

After calculation, we get the value:

x = ∛2023

x = 12.647

Clearly, the value of the term ‘x’ is approximately 12.647.

Now, multiplying the value of the term x = 12.647  three times,

●  [  = 12.647 * 12.647 * 12.647 ]

●  The value we get, after the calculation is 2022.844.

Proving the equation, x*x*x* = 2023

To prove the relationship of the following equation, we need to apply mathematical tools in the equation.

●  x*x*x* = 2023

●  (x3) = 2023

We are applying cube roots on both sides to remove the power 3 from x.

We get,          ∛( =   ∛2023

the left hand side cube root will get cancel with each other.

There we get, x = ∛2023

On further solving,   x = 12.647

Now, applying the value of the term ‘x’ in the given equation,

we get:

●  X3 = 2023

●  12.647 * 12.647 * 12.647 = 2023

After further multiplication, we get the answer;

         2022.84 which is approximately equal to 2023

 [2022.84 ≈ 2023]

Some advantages of xxx is equal to 2023

  1. To verify if the given equation is correct or not.
  2. Helps to simplify the equation.
  3. To do impossible calculation
  4. To solve the complexity of mathematics.
  5. To highlight the relationship between the terms.

Can the equation, [ x*x*x* = 2023 ] solved using the factorization method?

We cannot solve the equation using the factorization method. Here, we cannot apply the factorization method because we see that the value of 2023 is not a perfect cube.

The outcomes with decimals cannot be a perfect cube root.

We need to have a perfect square or cube, to solve any equation using the factorization method. There are different types of equations, and all the equations can’t solved using the same formula.

 Where the term x*x*x is equal to 2023 is applied?

  1. In the case of physics, mathematics, economics and engineering.
  2. We can establish the relationship between the volume and the linear dimensions.
  3. In the geometric questions.
  4. To solve the real‑world maths problems
  5. In the real physical world, it might be included in daily work.

Tools used in the calculation

Here three tools of mathematics are appllied for the calculation of the expression x*x*x is equal to 2023:

  1. Simplification:- In this method, we break down the complex equation and turn the equation into the simplest form for easy calculation.
  2. Cube root: we need to perform the isolation method, just after simplifying, we need to apply cube root on both sides of the equation to isolate the term x.
  3. Round–Off: we need to do the round-off, as 2023, is not a perfect cube number. By the value we can prove that the given term was correct.

Conclusion

Algebra is applied to verify whether the term of x*x*x is equal to 2023 is correct or not. As the term is an example of Algebraic expression. An algebraic expression is use to solve and simplify complex algebraic problems and equations.

We have used three tools; simplification, cube root method, and rounding off to approximate terms, to calculate the final answer of the equation. By using the approximate value, we get the resultant. The given term has proved the principle of L.H.S = R.H.S. We need to apply the same steps to get the outcome, to solve equations like this.

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