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Diamond Problem Factor Pair Calculator — result sheet
Find the two numbers with a selected sum and product, if the real factor-pair equation has solutions.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Numbers are roots of t²−sum×t+product=0; discriminant=sum²−4×product.
The page turns the sum-and-product puzzle into a quadratic and reports real pair members when the discriminant permits them.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Target sum — minimum -1000000000000; maximum 1000000000000
- Target product — minimum -1.0E+24; maximum 1.0E+24
Worked example
| Input | Value |
|---|---|
| Target sum | 5 |
| Target product | 6 |
Factor pair =2 and 3.
Assumptions and limits
- The selected sum and product are finite real values.
- The requested pair is allowed to be real rather than restricted to integers.
- Integer-factor screening and a particular factoring notation are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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