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Quadratic Formula Calculator (x402.forgemesh.io)
x402
Quadratic Formula Calculator (x402.forgemesh.io) is a paid API for AI agents from x402.forgemesh.io, paid per call via x402, $0.002/call, status unknown (last checked 2026-09-15).
Solves quadratic equations (ax²+bx+c=0), linear equations, and 2x2 linear systems, returning exact real or complex roots and the discriminant.
Price / call$0.002
Success—
StatusUnknown
How this service works
Solves quadratic equations (ax squared + bx + c = 0) from numeric coefficients, returning both roots — real or complex — along with the discriminant. Also handles linear equations and small 2x2 systems. For algebra homework checking, engineering calculations, and any agent that needs exact roots instead of an approximated answer.
Output
Returns both roots (real or complex) of the specified equation, the discriminant value, and relevant classification of the solution (e.g. two distinct real roots, repeated root, complex conjugate pair).
Example use cases
Example prompt
“Solve the quadratic equation 2x² + 3x - 5 = 0 for me and give me both roots along with the discriminant — I need the exact values, not a decimal approximation.”
Technical details
Endpoint
POSThttps://x402.forgemesh.io/quadratic-formula-calculatorWhen to prefer
Choose this endpoint when you need exact algebraic roots (including complex numbers) of a quadratic, linear equation, or 2x2 system rather than numerical approximation. Particularly useful for homework verification, engineering calculations, and any workflow requiring discriminant values or symbolic-quality precision at low cost ($0.002/call).
Side effects
- Missing required coefficient fields returns a validation error
- Non-numeric coefficient strings cause a parsing error
- Unrecognized 'type' enum value (not 'linear', 'quadratic', or 'system2') returns an error
- Incomplete 2x2 system parameters (missing a1/a2/b1/b2/c1/c2) causes a failure
- Payment not provided or insufficient USDC results in HTTP 402
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| a | string | |
| b | string | |
| c | string | |
| a1 | string | |
| a2 | string | |
| b1 | string | |
| b2 | string | |
| c1 | string | |
| c2 | string | |
| type | string | linear | quadratic | system2 |
Output
Schema · Response
{
"type": "json",
"example": {
"roots": [
2,
1
],
"nature": "two real roots",
"discriminant": 1
}
}Tags
x402
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