# Numora Quadratic Equation Solver

> Numora Quadratic Equation Solver is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.05/call, status unknown (last checked 2026-09-14).

Solves quadratic equations (ax² + bx + c = 0) and returns real or complex roots given coefficients a, b, and c

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/solve/quadratic
- Price: $0.05/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-quadratic-equation-solver-73c8d553
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_op1AGooM4VUIh7AZOH0e3

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-73c8d553 -d '<json body>'
```

Example prompt: Solve the quadratic equation 3x² - 5x + 2 = 0 for me — give me the roots using a=3, b=-5, and c=2.

## When to prefer this

Use this endpoint when you need a deterministic, zero-dependency computation of quadratic roots without relying on a general-purpose CAS (computer algebra system) or a heavyweight math library. Ideal for AI agents needing fast, cheap ($0.1 USDC) algebraic computation via x402 micropayments on Base.

## Known failure modes

- Missing required coefficient (a, b, or c) returns validation error
- Non-numeric input for coefficients causes schema rejection
- Payment failure via x402 micropayment returns 402 status
- Discriminant computation still succeeds but roots may be complex numbers if discriminant is negative

## 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 success flag, a result object containing the computed roots (real or complex) of the quadratic equation, and a human-readable computation string describing what was solved.

## 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-73c8d553/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numorapoi.orbonomy.xyz](https://www.zero.xyz/host/numorapoi.orbonomy.xyz/llms.txt)