Discriminant Calculator
𝑥 Algebra. Use the Discriminant formula to find discriminant δ, a, b, c: pick the value you want, type the others, and the answer updates as you go.
Δ > 0: two real roots. Δ = 0: one repeated root. Δ < 0: no real roots.
Discriminant Δ1
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| Discriminant Δ | no unit |
| a | no unit |
| b | no unit |
| c | no unit |
Worked example
Find the discriminant δ when a = 1, b = -5, c = 6.
Using Δ = b² - 4ac: Discriminant Δ = 1.
Frequently asked questions
What is the formula for Discriminant?
Δ = b² - 4ac. Δ > 0: two real roots. Δ = 0: one repeated root. Δ < 0: no real roots.
What do the letters stand for, and what units are used?
Discriminant Δ, a, b, c.
How do you calculate discriminant δ?
Put the values into Δ = b² - 4ac. For example, with a = 1, b = -5, c = 6, discriminant δ = 1.
Can I solve for a different value?
Yes. In the calculator above, pick the circle next to any value (discriminant δ, a, b, c) and fill in the others: it rearranges the formula for you.
