Calculate slope between two points.
AlgebraOpen
Discriminant Calculator (b² − 4ac)
Quick answer
If a is 2, b is 7 and c is 3, the discriminant is 25.
Enter your values
Discriminant
25
The discriminant — its sign tells you how many real solutions the equation has (positive: two, zero: one, negative: none).
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See how the result changes
Each table re-runs this calculator with one value changed and everything else left as it is.
Discriminant by a
If a goes from 2 to 3, discriminant changes from 25 to 13 (−48%).
| a | Discriminant |
|---|---|
| 1 | 37 |
| 1.5 | 31 |
| 2start | 25 |
| 3 | 13 |
| 4 | 1 |
Discriminant by b
If b goes from 7 to 10.5, discriminant changes from 25 to 86.25 (+245%).
| b | Discriminant |
|---|---|
| 3.5 | −11.75 |
| 5.25 | 3.5625 |
| 7start | 25 |
| 10.5 | 86.25 |
| 14 | 172 |
Discriminant by c
If c goes from 3 to 4.5, discriminant changes from 25 to 13 (−48%).
| c | Discriminant |
|---|---|
| 1.5 | 37 |
| 2.25 | 31 |
| 3start | 25 |
| 4.5 | 13 |
| 6 | 1 |
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A quick guide to Quadratic Discriminant
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How to Use the Quadratic Discriminant Calculator
1
Enter a
Provide your a.
2
Enter b
Provide your b.
3
Enter c
Provide your c.
4
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Get your discriminant instantly, calculated on our server.
What is Quadratic Discriminant?
This math tool works out your discriminant instantly, so you don't have to do the math by hand.
“One quick calculation, so you always know your discriminant before you decide.”
What Affects Your Discriminant
Your discriminant depends on the values below.
a
Changing your a changes your discriminant.
b
Changing your b changes your discriminant.
c
Changing your c changes your discriminant.
Example Result
Here's what you can expect from a quadratic discriminant calculation:
- a
- 2
- b
- 7
- c
- 3
- Discriminant
- 25
Frequently Asked Questions
- How does a affect discriminant?
- If a goes from 2 to 3, discriminant changes from 25 to 13 (−48%).
- How does b affect discriminant?
- If b goes from 7 to 10.5, discriminant changes from 25 to 86.25 (+245%).
- How to calculate quadratic discriminant?
- Fill in a, b and c in the Discriminant Calculator (b² − 4ac) above and your discriminant is calculated instantly. Change any value to see how the result responds.
- What does an example quadratic discriminant calculation look like?
- If a is 2, b is 7 and c is 3, the discriminant is 25.
- Is this calculator free to use?
- Yes — every calculator on this site is completely free, with no sign-up or account required.
- How accurate is this calculator?
- It uses the standard formula and calculates on our server for every request, so results are precise for the values you enter.
- Is my data saved anywhere?
- No. Nothing you enter is stored or sent anywhere unless you choose to share a link with your values included.
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