Algebra & Equations
Quadratic Discriminant
Discriminant determining root nature.
Formula
Formula
Δ = b2 − 4ac
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| a | quadratic coefficient | real number (ℝ) | — | input |
| b | linear coefficient | real number (ℝ) | — | input |
| c | constant | real number (ℝ) | — | input |
| Δ | discriminant | computed result | — | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givena = 1, b = 5, c = 6
Result1
Example 2
Givena = 1, b = 2, c = 5
Result-16