{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://askcalculators.com/calculator/cubic-equation-3rd-order-polynomial-calculator/schema.json",
  "title": "Cubic Equation Calculator - 3rd Order Polynomial inputs",
  "description": "Solve a cubic polynomial ax³ + bx² + cx + d = 0 for all real or complex 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": 11,
      "x-step": 0.001
    },
    "d": {
      "title": "Coefficient d",
      "type": "number",
      "default": -6,
      "x-step": 0.001
    }
  },
  "required": [
    "a",
    "b",
    "c",
    "d"
  ],
  "additionalProperties": false,
  "x-askcalculators": {
    "version": "1.0.0",
    "calculatorUrl": "https://askcalculators.com/calculator/cubic-equation-3rd-order-polynomial-calculator/",
    "queryExample": "https://askcalculators.com/calculator/cubic-equation-3rd-order-polynomial-calculator/?a=1&b=-6&c=11&d=-6",
    "migrationStatus": "new",
    "reviewStatus": "pending",
    "pageStatus": "live",
    "workStatus": "pending",
    "formula": {
      "expression": "roots solve ax³ + bx² + cx + d = 0 using the depressed-cubic (Cardano) form"
    },
    "quality": {
      "availability": "live",
      "technicalReviewRecord": "/reviews/cubic-equation-3rd-order-polynomial-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": {
      "roots": {
        "title": "Roots",
        "type": "string",
        "x-format": "text",
        "x-primary": true
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      "discriminant": {
        "title": "Cubic discriminant",
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        "title": "Root classification",
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}