This discriminant reference table shows the discriminant (b² − 4ac) for a range of a values, assuming a b of 5 and a c of 6. Every figure is computed with the same engine that powers our Discriminant Calculator, so the numbers are exact.
| a | Discriminant (b² − 4ac) |
|---|---|
| 0.25 | 19.0000 |
| 0.5 | 13.0000 |
| 0.75 | 7.0000 |
| 1 | 1.0000 |
| 1.5 | -11.0000 |
| 2 | -23.0000 |
| 3 | -47.0000 |
| 5 | -95.0000 |
| 7 | -143.0000 |
| 10 | -215.0000 |
How to use this table
Find the row closest to your a and read across to the discriminant (b² − 4ac). For a value between two rows, the real figure sits between them — or enter your exact numbers in the Discriminant Calculator for a precise answer.
Need a value that is not in the table? — the Discriminant Calculator does it instantly, for free, with the formula and a worked example built in.
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