TetraKits
Solving ax² + bx + c = 0 by hand is error-prone. The TetraKits quadratic calculator applies the quadratic formula instantly — real roots, repeated roots, or complex conjugates.
The quadratic formula
For ax² + bx + c = 0 where a ≠ 0:
x = (−b ± √(b² − 4ac)) / 2a
Example: x² − 5x + 6 = 0 → a=1, b=−5, c=6 → roots x=2 and x=3.
The discriminant
Δ = b² − 4ac determines root type:
| Δ value | Roots |
|---|---|
| Δ > 0 | Two distinct real roots |
| Δ = 0 | One repeated real root |
| Δ < 0 | Two complex conjugate roots |
How to use
- Enter coefficients a, b, and c.
- Read the discriminant and both roots.
- If a = 0, the tool solves the linear equation bx + c = 0 instead.
FAQ
What if a equals zero?
Not quadratic — solves bx + c = 0 linearly.
Complex roots?
Shown as a ± bi when discriminant is negative.
Is this calculator free?
Yes. Unlimited equations.
