Quadratic Equation Solver
Fill in the values and the answer updates as you type.
How the Quadratic Equation Solver works
x = (−b ± √(b² − 4ac)) ÷ 2a. A negative discriminant means there are no real roots.
Inputs and results
The Quadratic Equation Solver takes 3 inputs and gives 3 results.
What you enter
- a — starts at 1.
- b — starts at -3.
- c — starts at 2.
What you get
- Discriminant
- Root 1
- Root 2
Example: Quadratic Equation Solver with the starting values
With a 1, b -3 and c 2, the calculator returns:
| Discriminant | 1 |
|---|---|
| Root 1 | 2 |
| Root 2 | 1 |
Change any value above and the results update straight away.
Quadratic Equation Solver FAQ
How do I use the Quadratic Equation Solver?
Enter a, b and c in the fields, then read discriminant, root 1 and root 2 in the result panel. The answer updates as you type, and you can press Calculate or Enter to refresh it. Use “Copy link” to share your exact numbers with someone else.
What does the Quadratic Equation Solver calculate?
Real roots of ax² + bx + c = 0. It returns discriminant, root 1 and root 2 from the 3 values you provide.
What values does the Quadratic Equation Solver start with?
It opens with a 1, b -3 and c 2 so you can see a working result straight away. Replace them with your own numbers, or press Reset to return to these starting values.
Is the Quadratic Equation Solver free and private?
Yes. It is free, needs no account, and runs in your browser, so nothing you type is sent to or stored on our servers. See the Privacy Policy for details.
Can I rely on the Quadratic Equation Solver for important decisions?
Treat the result as a well-rounded estimate. Real situations often have details a general calculator cannot know, so confirm important decisions with a qualified professional. See the Disclaimer for more.