{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://askcalculators.com/calculator/completing-the-square-calculator/schema.json",
  "title": "Completing the Square Calculator inputs",
  "description": "Rewrite a quadratic in vertex form and calculate its vertex and roots.",
  "type": "object",
  "properties": {
    "a": {
      "title": "Coefficient a",
      "type": "number",
      "default": 1,
      "x-step": 0.001
    },
    "b": {
      "title": "Coefficient b",
      "type": "number",
      "default": 6,
      "x-step": 0.001
    },
    "c": {
      "title": "Coefficient c",
      "type": "number",
      "default": 5,
      "x-step": 0.001
    }
  },
  "required": [
    "a",
    "b",
    "c"
  ],
  "additionalProperties": false,
  "x-askcalculators": {
    "version": "1.0.0",
    "calculatorUrl": "https://askcalculators.com/calculator/completing-the-square-calculator/",
    "queryExample": "https://askcalculators.com/calculator/completing-the-square-calculator/?a=1&b=6&c=5",
    "migrationStatus": "new",
    "reviewStatus": "pending",
    "pageStatus": "live",
    "workStatus": "pending",
    "formula": {
      "expression": "ax² + bx + c = a(x + b/2a)² + c − b²/4a"
    },
    "quality": {
      "availability": "live",
      "technicalReviewRecord": "/reviews/completing-the-square-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": "2026-09-01",
      "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
    },
    "outputs": {
      "vertexForm": {
        "title": "Vertex form",
        "type": "string",
        "x-format": "text",
        "x-primary": true
      },
      "vertex": {
        "title": "Vertex (h, k)",
        "type": "string",
        "x-format": "text"
      },
      "discriminant": {
        "title": "Discriminant",
        "type": "number",
        "x-format": "number",
        "x-digits": 8
      },
      "roots": {
        "title": "Roots",
        "type": "string",
        "x-format": "text"
      }
    }
  }
}