# Numora Quadratic Equation Solver

> Numora Quadratic Equation Solver is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-15).

Solves quadratic equations (ax² + bx + c = 0) and returns the real or complex roots along with a human-readable computation summary

## Facts

- Endpoint: POST https://numormo.vercel.app/api/solve/quadratic
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-quadratic-equation-solver-5d36a74f
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_yWmtXZnIz1U8LQPOmilrx

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-quadratic-equation-solver-5d36a74f -d '<json body>'
```

Example prompt: Solve the quadratic equation 2x² + 5x - 3 = 0 using the Numora math API — coefficients are a=2, b=5, c=-3.

## When to prefer this

Choose this endpoint when you need a fast, dependency-free algebraic solution to a quadratic equation and want a machine-readable result plus a human-readable explanation. Ideal for AI agents embedded in tutoring, engineering, or financial modeling workflows that require on-demand polynomial root finding without spinning up a symbolic math library or calling a general-purpose LLM for arithmetic.

## Known failure modes

- Missing required coefficients a, b, or c returns a validation error
- Non-numeric coefficient values cause a 400 bad request
- Payment failure via x402 blocks the request
- Coefficient a=0 may cause a division-by-zero or degenerate-case error (not a quadratic)
- Server/deployment downtime on Vercel free tier

## How this service works

100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.

## Output

Returns a JSON object with a 'success' boolean, a 'result' object containing the computed roots (real or complex) and discriminant information, and a 'computation' string providing a human-readable description of what was solved and how.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "a",
  "b",
  "c"
 ],
 "properties": {
  "a": {
   "type": "number"
  },
  "b": {
   "type": "number"
  },
  "c": {
   "type": "number"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-quadratic-equation-solver-5d36a74f/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)