{
  "id": "quadratic-formula-calculator",
  "version": "1.0.0",
  "name": "Quadratic Formula Calculator",
  "shortName": "Quadratic formula",
  "description": "Find real or complex roots, discriminant, vertex, and axis of symmetry.",
  "category": "Math & Statistics",
  "categorySlug": "math-statistics",
  "keywords": [
    "quadratic equation",
    "roots",
    "discriminant",
    "vertex"
  ],
  "status": "live",
  "workStatus": "pending",
  "reviewStatus": "pending",
  "migrationStatus": "new",
  "engine": "native",
  "creator": null,
  "reviewer": null,
  "quality": {
    "availability": "live",
    "technicalReviewRecord": "/reviews/quadratic-formula-calculator.json",
    "qualifiedReview": "pending",
    "qualifiedReviewer": null,
    "qualifiedReviewDate": null,
    "formulaVersion": "1.0.0",
    "referenceCoverage": "references-pending",
    "releaseTestScope": "Catalog and regression checks are not a professional formula audit; consult release evidence.",
    "historicalMetadataDate": "2026-08-18",
    "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
  },
  "urls": {
    "page": "/calculator/quadratic-formula-calculator/",
    "definition": "/calculator/quadratic-formula-calculator/definition.json",
    "schema": "/calculator/quadratic-formula-calculator/schema.json",
    "llms": "/calculator/quadratic-formula-calculator/llms.txt",
    "legacyDefinition": "/calculator/quadratic-formula-calculator.json"
  },
  "queryExample": "https://askcalculators.com/calculator/quadratic-formula-calculator/?a=1&b=-3&c=2",
  "queryParameters": {
    "a": {
      "label": "a",
      "type": "number",
      "required": true,
      "default": 1
    },
    "b": {
      "label": "b",
      "type": "number",
      "required": true,
      "default": -3
    },
    "c": {
      "label": "c",
      "type": "number",
      "required": true,
      "default": 2
    }
  },
  "inputs": [
    {
      "id": "a",
      "label": "a",
      "type": "number",
      "required": true,
      "defaultValue": 1,
      "step": 0.01,
      "width": "half"
    },
    {
      "id": "b",
      "label": "b",
      "type": "number",
      "required": true,
      "defaultValue": -3,
      "step": 0.01,
      "width": "half"
    },
    {
      "id": "c",
      "label": "c",
      "type": "number",
      "required": true,
      "defaultValue": 2,
      "step": 0.01,
      "width": "full"
    }
  ],
  "outputs": [
    {
      "id": "roots",
      "label": "Roots",
      "format": "text",
      "primary": true
    },
    {
      "id": "discriminant",
      "label": "Discriminant",
      "format": "number"
    },
    {
      "id": "vertex",
      "label": "Vertex",
      "format": "text"
    },
    {
      "id": "axis",
      "label": "Axis of symmetry",
      "format": "number"
    }
  ],
  "formula": {
    "expression": "x = (−b ± √(b² − 4ac)) ÷ 2a"
  },
  "examples": [
    {
      "label": "Reproducible default-input example (not a personal recommendation)",
      "inputs": {
        "a": 1,
        "b": -3,
        "c": 2
      }
    }
  ],
  "sources": []
}