Diamond Problem Solver
The Diamond Problem Solver finds two numbers given their product and sum — the core of the factoring diamond method. Enter the product (top) and sum (bottom).
Formula
The two numbers are the roots of t² − (sum)·t + (product) = 0
- Used to factor quadratics: find numbers that multiply to the product and add to the sum.
- A negative discriminant means no real pair exists.
Product 12, sum 7
Inputs
- Product (top): 12
- Sum (bottom): 7
3 and 4 multiply to 12 and add to 7.
Frequently asked questions
What is the diamond problem?
A factoring aid: find two numbers that multiply to the top value and add to the bottom value of a diamond.