đź’Ž Diamond Problem Solver
Solve diamond problems (factoring by grouping). Enter the top number (product) and bottom number (sum) to find the two numbers that multiply to the product and add to the sum.
Diamond Problem Solver Calculator features
Features: Top Number (Product) and Bottom Number (Sum) ✅ Solve Diamond Problem button after all inputs ✅ Key results displayed:
- First Number (Left side of diamond)
- Second Number (Right side of diamond) âś…Â 2 verification cards:
- Product Verification: First Ă— Second = Product
- Sum Verification: First + Second = Sum âś…Â 4-Step Solution breakdown:
- Identify what we need to find
- Set up the diamond structure
- Find factor pairs of the product
- Verify the solution âś…Â Handles multiple scenarios:
- Positive products
- Negative products
- Positive and negative mixed solutions âś…Â Complete verification: Shows both multiplication and addition checks âś…Â Results Summary Table: All inputs and outputs clearly displayed âś…Â Solution Status: Shows if solution was found or not âś…Â Educational tip: Explains diamond problems’ use in factoring quadratics
Try with examples:
- Example 1: Product = 12, Sum = 8 → Numbers = 2 and 6 (2 × 6 = 12, 2 + 6 = 8)
- Example 2: Product = 24, Sum = 10 → Numbers = 4 and 6 (4 × 6 = 24, 4 + 6 = 10)
- Example 3: Product = -12, Sum = 1 → Numbers = 4 and -3 (4 × -3 = -12, 4 + -3 = 1)
- Example 4: Product = 20, Sum = -12 → Numbers = -2 and -10 (-2 × -10 = 20, -2 + -10 = -12)
