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SignalDesk AI Quadratic Roots Solver
x402
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
Price / call$0.001
Success—
StatusUnknown
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.
Example use cases
Parabola x-intercept finder
“I need to find where the parabola y = 3x² - 7x + 2 crosses the x-axis. What are the real roots for a=3, b=-7, c=2?”
Discriminant check for real solutions
“Does the quadratic equation x² + x + 1 have any real solutions? Can you compute the discriminant for a=1, b=1, c=1 and tell me the roots if they exist?”
Engineering equation solver
“I'm working on a physics problem and need to solve the equation 4x² - 12x + 9 = 0. Can you find the roots for coefficients a=4, b=-12, c=9?”
Technical details
Endpoint
POSThttps://x402-agent.kariguetoazul.workers.dev/api/math/quadratic-roots?utm_source=zero.xyzWhen to prefer
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.
Side effects
- 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
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| a | number | Finite number. |
| b | number | Finite number. |
| c | number | Finite number. |
Output
Schema · Response
{
"type": "json",
"example": {
"real_roots": [
1,
2
],
"discriminant": 1
}
}Tags
x402
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