Quadratic Formula Calculator
Math
Solve ax² + bx + c = 0 for real or complex roots.
Formula
x = [−b ± √(b²−4ac)] / (2a)
- 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
x² − 5x + 6 = 0 has roots 2 and 3.
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?
x = [−b ± √(b²−4ac)] / (2a). 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.