Solve ax² + bx + c = 0 for real roots with discriminant feedback and a number-line hint when roots are real.
How to use
- Enter a, b, c with a ≠ 0.
- Read two roots, one double root, or “no real roots.”
Example
x² − 5x + 6 = 0 → roots 2 and 3.
x² + 1 = 0 → no real roots.
Notes
Complex roots are not listed on this page.
Frequently asked questions
No real roots?
Discriminant < 0—no real x-intercepts (complex roots exist but are not listed).
Two roots when discriminant > 0?
Positive discriminant → two distinct real roots; zero → one double root.
Can a be zero?
No—a = 0 makes it linear, not quadratic.
Quadratic formula?
x = (−b ± √(b²−4ac)) / (2a)—computed from your a, b, c.
Can I save my inputs?
Yes. Copy link below the form keeps your current inputs so you can share the scenario or save it for later.