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Math & AlgebraGenerated accuracy model review: 2026-05-06
Quadratic Solver accuracy and testing
This page documents how Calwarden builds trust for this calculator: source notes, regression-style default tests, limitations, assumptions, unit handling, rounding, and visible change history.
Formula source
- It uses the famous **Quadratic Formula**: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ The term inside the square root ($b^2 - 4ac$) is called the **Discriminant** ($\\Delta$).
Test cases
Default input regression check
Generated from the checked-in default inputs and calculate function.
Inputs
- a (x² coeff): 1
- b (x coeff): -3
- c (constant): 2
Expected outputs
- Root 1 (x): 2
- Root 2 (x): 1
- Discriminant: 1
Known limitations
- This page documents the checked-in calculator logic and does not certify results for every real-world edge case.
- Use the result as a planning estimate unless the calculator page states a stricter purpose.
Assumptions
- The equation is already rearranged into standard form ax² + bx + c = 0.
- The coefficient a is not zero, so the equation is truly quadratic.
- This calculator returns real roots only; negative discriminants are reported as NaN.
Unit handling
- a (x² coeff) accepts numeric values.
- b (x coeff) accepts numeric values.
- c (constant) accepts numeric values.
Rounding rules
- Number displays use up to 2 decimal places in the calculator UI.
Version history
1.0.0 - 2026-05-06
Generated accuracy and testing page from the current quadratic-equation-solver calculator definition.
Change log
2026-05-06
Published default regression test documentation and metadata fallbacks for Quadratic Solver.
Calculator transparency
Accuracy pages are generated from checked-in calculator definitions and can be upgraded with curated review metadata over time.