Solve ax² + bx + c = 0 and inspect the discriminant and key graph features.
Calculate with the Quadratic Equation Calculator
Enter the values below. Invalid mathematical operations are explained before a result is shown.
Quadratic Equation Calculator results
Parabola graph
How to use the Quadratic Equation Calculator
- Choose a calculation mode when one is available.
- Enter the required values using the examples and field notes as a guide.
- Select Calculate or press Enter.
- Review the primary result, supporting values, and working.
Worked example
x² − 5x + 6 has discriminant 1 and roots 2 and 3.
Assumptions
The calculator uses real-number arithmetic unless complex square or quadratic roots are explicitly shown. Decimal displays can be rounded while calculations retain normal browser numeric precision.
Limitations
- a must be nonzero.
- Exact radical text is simplified only for integer coefficients.
Frequently asked questions
Does the Quadratic Equation Calculator accept decimals and negative values?
It accepts them wherever the selected operation permits. Invalid domains are identified before a result is shown.
How are decimal results rounded?
Calculations retain JavaScript numeric precision and display a readable number of significant digits. A displayed decimal may therefore be rounded.
Are entries stored?
No. The calculation runs in your browser and this page does not store the values you enter.