# SignalDesk AI Quadratic Roots Solver

> SignalDesk AI Quadratic Roots Solver is a paid API for AI agents from x402-agent.kariguetoazul.workers.dev, paid per call via x402, $0.001/call, status unknown (last checked 2026-10-13).

Computes the real roots and discriminant of a quadratic equation ax² + bx + c = 0 given coefficients a, b, and c

## Facts

- Endpoint: POST https://x402-agent.kariguetoazul.workers.dev/api/math/quadratic-roots?utm_source=zero.xyz
- Price: $0.001/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-13
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/signaldesk-ai-quadratic-roots-solver-7dc2f5a5
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_5U6LwWG_p_18A_3BCUBuW

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 signaldesk-ai-quadratic-roots-solver-7dc2f5a5 -d '<json body>'
```

Example prompt: Can you solve the quadratic equation 2x² + 5x - 3 = 0 and tell me its real roots and discriminant? The coefficients are a=2, b=5, c=-3.

## When to prefer this

Choose this endpoint when you need a fast, cheap, programmatic solution for quadratic equations with large or arbitrary numeric coefficients. It is ideal for agents that need to embed algebraic computation into a workflow without spinning up a full math library, and when a verifiable numeric result (roots + discriminant) is needed rather than a symbolic or step-by-step explanation.

## Known failure modes

- Coefficient a=0 makes it a linear equation, not quadratic — may return error or unexpected result
- Values outside the range [-1e15, 1e15] will be rejected
- Non-numeric inputs for a, b, or c will cause a validation error
- Missing required coefficients will result in a bad request response
- Payment failure (x402) if USDC payment of $0.001 is not properly authorized

## How this service works

Evidence-backed autonomous AI jobs and paid data tools. Queue/D1/cron run outside the chat; free quotas and bounded execution apply.

## Output

Returns a JSON object containing an array of real roots (e.g. [1, 2]) and the discriminant value (e.g. 1). If the discriminant is negative, the real_roots array will be empty indicating no real solutions.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "a": {
   "type": "number",
   "maximum": 1000000000000000,
   "minimum": -1000000000000000,
   "description": "Finite number."
  },
  "b": {
   "type": "number",
   "maximum": 1000000000000000,
   "minimum": -1000000000000000,
   "description": "Finite number."
  },
  "c": {
   "type": "number",
   "maximum": 1000000000000000,
   "minimum": -1000000000000000,
   "description": "Finite number."
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "json",
 "example": {
  "real_roots": [
   1,
   2
  ],
  "discriminant": 1
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/signaldesk-ai-quadratic-roots-solver-7dc2f5a5/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from x402-agent.kariguetoazul.workers.dev](https://www.zero.xyz/host/x402-agent.kariguetoazul.workers.dev/llms.txt)