Diamond Problem Solver
Find two real factors, their sum and product from a chosen pair of known values.
Formula
S=A+B; P=AB; given S,P: A,B=(S±√(S²−4P))/2.
Factor A ≈ ((7)+sqrt((7)^2-4×(12)))÷2 · Factor B ≈ ((7)-sqrt((7)^2-4×(12)))÷2 · Sum S ≈ (7) · Product P ≈ (12)
How to use
- Choose which pair is known.
- Enter the first and second values in that order.
- Read both factors, sum and product.
Examples
- Sum 7 and product 12 give factors 4 and 3.
Frequently asked questions
How do I order the inputs?
Use A,B; S,P; A,S; or A,P as shown by the selected mode.
What if S²−4P is negative?
No real factor pair exists. Use the quadratic solver for complex roots.
Can the known factor be zero?
Yes with a sum or another factor. With only a product, zero cannot determine a unique second factor.
Sources
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