# Diamond Problem Solver

> Find two numbers whose product and sum match a diamond problem.

Page: https://askcalculators.com/calculator/diamond-problem-solver/
Definition: https://askcalculators.com/calculator/diamond-problem-solver/definition.json
JSON Schema: https://askcalculators.com/calculator/diamond-problem-solver/schema.json
Version: 1.0.0
Maintained by: AskCalculators (software project; not a credentialed reviewer)
Qualified review: pending. Automated checks do not establish professional approval.
Page status: Live
Review status: Pending

## Use
Open the calculator page and enter values. Query-string parameters can restore and bookmark a calculation.
Example: https://askcalculators.com/calculator/diamond-problem-solver/?product=12&sum=7

## Inputs
- product: Product; type=number; required; default=12
- sum: Sum; type=number; required; default=7

## Outputs
- firstNumber: First number; format=text; primary
- secondNumber: Second number; format=text
- factorization: Factorization; format=text

## Formula
x + y = S and xy = P, so x and y are roots of t² − St + P = 0

## Rules
- Empty optional inputs are undefined, not zero.
- Hidden conditional inputs are ignored.
- Do not invent missing required inputs.