Discriminant Calculator
Math
Evaluate the discriminant of a quadratic polynomial.
Formula
D = b² − 4ac
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
Example Calculation
Example inputs
- Coefficient a: 1
- Coefficient b: -5
- Coefficient c: 6
For x² − 5x + 6, the discriminant is 1.
Frequently asked questions
How do I use this calculator?
Enter coefficient a, coefficient b, coefficient c. The result updates automatically. Use Reset to restore the example values.
What method does it use?
D = b² − 4ac. Follow the units and definitions shown with the inputs to apply this relationship consistently.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.