Quadratic Formula Calculator
Roots of ax² + bx + c = 0, including complex roots when the discriminant is negative.
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How to use Quadratic Formula Calculator
- Enter a, b, c. Leave a field blank only when the page says the value is missing.
- Read the result rows under the form. Errors appear in the status line. Nothing is uploaded.
- Rounding follows IEEE floating point in this browser unless the page says it uses integers or BigInt.
Quadratic Formula Calculator
Real roots
| Computes | Roots of ax² + bx + c = 0, including complex roots when the discriminant is negative. |
|---|---|
| Includes | Real roots |
| Includes | Complex roots |
| Engine | percentage |
| Upload | None |
| Advice | Arithmetic only |
What Quadratic Formula Calculator is
x = (−b ± √(b² − 4ac)) / (2a). a cannot be 0. A negative discriminant returns a ± bi on this page, not a plot.
The formula runs in this tab. CZNull does not receive the numbers.
How this page computes
This is not a CAS. It will not factor a polynomial with leftover x symbols. Exponents of numbers are the exponent page.
Entities and related jobs
Roots of ax² + bx + c = 0, including complex roots when the discriminant is negative. Named features: Real roots, Complex roots.
See also Scientific Calculator, Exponent Calculator, Order of Operations Calculator, Percentage Calculator, Fraction Calculator, GCD Calculator.
Use cases
Projectile equations and school quadratics. Completing the square by hand is not shown as a step list.
Limits
Invalid input appears in the status line. IEEE floating point applies unless a row says otherwise. CZNull does not receive the numbers.