Discriminant Table: Discriminant (b² − 4ac) by a
Reference table of discriminant (b² − 4ac) for Discriminant across a range of a values — exact, engine-computed figures you can read off at a glance.
Discriminant Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Discriminant (b² − 4ac)
1.0000
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Discriminant Calculator
The Discriminant Calculator works out your discriminant (b² − 4ac) in an instant. Enter a, b and c and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the a.
- Enter the b.
- Enter the c.
- Read off your discriminant (b² − 4ac) — the calculator updates automatically, with no button to press.
Formula
The Discriminant Calculator uses the formula:
Discriminant (b² − 4ac) = b ^ 2 - 4 × a × c
Worked example
For example, with a of 1, b of 5 and c of 6, the discriminant (b² − 4ac) is 1.0000.
| a | 1 |
|---|---|
| b | 5 |
| c | 6 |
| Discriminant (b² − 4ac) | 1.0000 |
|---|
Results are estimates for educational use, not professional advice.
Frequently asked questions
For ax² + bx + c, the discriminant is b² − 4ac. For 1, 5, 6 it is 1.
If it is positive there are two real roots, if zero one repeated root, and if negative no real roots.
It reveals the nature of a quadratic's roots without fully solving the equation.
It is the part under the square root in the quadratic formula.
The Discriminant Calculator uses the formula: Discriminant (b² − 4ac) = b ^ 2 - 4 × a × c. For example, with a of 1, b of 5 and c of 6, the discriminant (b² − 4ac) is 1.0000.
Enter the a. Enter the b. Enter the c. Read off your discriminant (b² − 4ac) — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Discriminant: Formula, Steps & Examples
Learn how to calculate Discriminant — the formula explained step by step, with worked examples and a free calculator to check your answer.