# Quadratic Formula Calculator

> Find real or complex roots, discriminant, vertex, and axis of symmetry.

Page: https://askcalculators.com/calculator/quadratic-formula-calculator/
Definition: https://askcalculators.com/calculator/quadratic-formula-calculator/definition.json
JSON Schema: https://askcalculators.com/calculator/quadratic-formula-calculator/schema.json
Version: 1.0.0
Maintained by: AskCalculators (software project; not a credentialed reviewer)
Qualified review: pending. Automated checks do not establish professional approval.
Page status: Live
Review status: Pending

## Use
Open the calculator page and enter values. Query-string parameters can restore and bookmark a calculation.
Example: https://askcalculators.com/calculator/quadratic-formula-calculator/?a=1&b=-3&c=2

## Inputs
- a: a; type=number; required; default=1
- b: b; type=number; required; default=-3
- c: c; type=number; required; default=2

## Outputs
- roots: Roots; format=text; primary
- discriminant: Discriminant; format=number
- vertex: Vertex; format=text
- axis: Axis of symmetry; format=number

## Formula
x = (−b ± √(b² − 4ac)) ÷ 2a

## Rules
- Empty optional inputs are undefined, not zero.
- Hidden conditional inputs are ignored.
- Do not invent missing required inputs.