Introduction to Diamond Problem Solver
Diamond Problem Solver is an online algebraic tool that helps you to find the solution of two paired numbers that is multiply or sum these two numbers simultaneously. It evaluates the algebraic function factorization of two numbers in a few seconds.
Our x game calculator is beneficial for students as this method is used to develop analytic or creative skills in mathematics or sharpen mental ability.
What is the Diamond Problem?
Diamond method is an algebraic method where you can find the sum and product of two number factors as we do in factorization.
You can use this method not only to solve the sum or multiply but also to find the second factor if one factor is given with the help of changing the formula of the diamond method.
Formula Behind Diamond Calculator
Diamond formula depends on a single number that at a time gives a product number and when we add the same numbers it will give two factors. The diamond problem solver uses the following for calculations,
$$ X_{sum}^{product} $$
Evaluation Process of X Game Calculator
Diamond calculator math provides you with a simple method that allows you to get the solution to diamond problems instantly but also understands this concept quickly.
You can give the input value in the form of a factor number or even with a different sequence, it will arrange the formula of the diamond method in a way to get the unknown number to find a solution.
When you enter the input of an algebraic function in a diamond problem calculator, it analyzes your problem and then decides which method is used to find an unknown number. It has different cases for solving different unknown numbers of diamond problems.
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Two Factors are Given
When you give the input of two factors A, and B, to find the sum and the product value in the Diamond problem solver. It uses the diamond method directly to find the sum or product number in no time.
$$ Sum \;=\; factor\; A+ factor\; B $$
$$ Product\; =\; factor\; A* factor\; B $$
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One Factor with a Sum or Multiply Number is Given
If one factor with a sum or multiply number is given as input in the x method calculator, it will rearrange the formula to find the factor B first and then proceed to the next step, which is
For Multiply:
$$ Product\; =\; factor\; A \times factor\; B $$
$$ Factor\; A \;=\; \frac{product}{factor} B $$
For Sum:
$$ Sum\; =\; factor\; A + factor\; B $$
$$ Factor\; A \;=\; Sum - factor\; B $$
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If the Sum and Product Number are Given Solely
If you give only sum or product value but both factors are unknown it finds the unknown factor then it use the factorization method. For example, we take product 56 and the sum is 15 then find the two unknown factors.
Diamond solver uses a simple method of factorization as it takes product number 56 and writes all its possible combinations of the product table. Let's start with the small number, as
56
$$ 1 \times 56 \;=\; 56 $$
$$ 2 \times 28 \;=\; 56 $$
$$ 4 \times 14 \;=\; 56 $$
$$ 7 \times 8 \;=\; 56 $$
$$ 8 \times 7 \;=\; 56 $$
Here we clearly see the pair 7*8 product is 56 and if we add 7+8 then its answer is 15. That means our factors are 7 or 8.
Solved Examples of Diamond Math Problems
Some examples are given to let you know the manual calculation of solving such problems. Although the Diamond problem solver can easily solve the problem but you have to understand the manual calculation procedure.
Example 1.
Find the sum and product number of factor A=10, and factor B=7.
Solution:
Given data
Factor A = 10
Factor B = 7
$$ Sum \;=\; Factor\; A+ Factor\; B $$
$$ Sum \;=\; 10+7 \;=\;17 $$
$$ Product \; =\; Factor\; A \times Factor\; B $$
$$ Product \; =\; 10 \times 7 \;=\; 70 $$
Example 2.
Find factor B when factor A is 7 and its sum is 17.
Solution:
Given data
Factor A = 7
Sum = 17
Formula:
$$ Sum \;=\; Factor\; A + Factor\; B $$
$$ Factor\; B \;=\; Sum - Factor\; A \;=\; 17-7 $$
$$ Factor\; B \;=\; 10 $$
Example 3.
Find two factors when the sum is 17 and the product is 70.
Solution:
Given data
Sum = 17, Product = 70
Let's take all its possible combinations of the product Table 70
$$ 1 \times 70 \;=\; 70 $$
$$ 2 \times 35 \;=\; 70 $$
$$ 5 \times 14 \;=\; 70 $$
$$ 7 \times 10 \;=\; 70 $$
Here last table number has only 7,10 factors giving a sum of 17 and a product of 70.
So 7,10 is the factor number.
How to Use the Diamond Problem Solver
Diamond calculator math is an easy-to-use tool as it has a user-friendly layout that provides its users with a great experience that enables them to use it for the calculation of algebraic problems easily. You need to follow some steps before calculation. These steps are:
- Enter the factor A value in the input field of diamond problem calculator.
- Enter the factor B value in its input field
- You can also give sum and product value (optional if factor number is unknown)
- Click on the “Calculate” button to get the solution of the Diamond Problem
- Review your algebraic function before pressing the calculate button.
- Press the “Recalculate” button that brings you back to the home page where you can do more calculations related to the Diamond Problem.
- You must try our x method calculator to get accurate solutions and you can use our load examples for practice.
Final Result of Diamond Problem Calculator
You get the final result from the Diamond problem solver immediately after you enter the input of the algebraic function in it. It may include as
- Result option
Result option provides you with a solution for the factorization problems from the x game calculator.
- Possible steps
Steps option gives the solution to the Diamond Problem in detail with a complete step-by-step method
Advantages of the X Method Calculator
Diamond solver gives you multiple benefits whenever you give the input value in it and get a solution. You just need to put your factors and the rest of the calculation will be automatically done in the calculator in a fraction of a second. These benefits are:
- Diamond calculator math has a simple design so everyone can manage it easily for calculation.
- You do not need to spend a single fee for the calculation of algebraic functions in it.
- The x game calculator is a trustworthy tool that always gives you accurate solutions for your given function with no mistakes.
- It is a speedy calculator that provides a solution for a factorization Problem Calculation in no time.
- You can use diamond problem calculator to solve different types of algebraic functions in the diamond method calculator.
- You can use this Diamond problem solver worldwide through an internet connection only to find the solution to the diamond problem.
