Quadratic Equation Solver — Roots and Discriminant
Calculate real roots of ax²+bx+c=0 and show the discriminant with the quadratic formula. Example: a=1, b=-5, c=6 → roots 2 and 3. Browser-only algebra process for quick checks.
How it works
Enter coefficients a, b, c. Complex roots are not listed — when Δ<0 the tool errors.
Formula
Δ=b²−4ac; x=(−b±√Δ)/(2a). Notes:
- a must be non-zero.
- Δ=0 yields a repeated root.
- Pair with permutation / slope tools.
Example
Example: a=1, b=-5, c=6 → roots 2 and 3.
When to use it
- Homework quadratics.
- Quick root check.
- Algebra drill with related tools.
Frequently asked questions
Sample?
1,−5,6 → 2 and 3.
Complex?
Not shown — Δ must be ≥0.
a=0?
Not a quadratic here.
Advice?
Educational only.
Related tools
Questions or feedback
Something unclear, broken, or missing? Draft a message below — we read every note about these tools.