ForgeMesh Linear Equation Solver

x402

ForgeMesh Linear Equation Solver 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 linear equations, quadratic equations (real and complex roots), and 2x2 systems of linear equations given structured numeric coefficients

Price / call$0.002

Seller volume →—

Success—

StatusUnknown

How this service works

Equation solver for linear equations, quadratics with real or complex roots, and 2x2 systems of linear equations, given structured numeric coefficients rather than a text expression to parse. For engineering checks, math tutoring tools, and agents that need guaranteed-exact algebraic solutions.

Output

Returns exact algebraic solutions: for linear equations, the value of x; for quadratics, both roots (real or complex); for 2x2 systems, the values of both variables x and y that satisfy both equations simultaneously.

Example use cases

Example prompt

“Can you solve the quadratic equation 2x² + 3x - 5 = 0 and give me the exact roots, including any complex ones if they exist?”

Technical details

Endpoint

POSThttps://x402.forgemesh.io/linear-equation-solver

When to prefer

Choose this endpoint when you need guaranteed-exact algebraic solutions to standard equation types (linear, quadratic, or 2x2 linear systems) and your coefficients are already known numerically. Prefer this over symbolic math libraries when you want a simple API call with no local computation, or over LLM-based math when you need precision and determinism. Not suitable for higher-degree polynomials, symbolic/variable coefficients, or natural language math expressions that need parsing first.

Side effects

Missing required coefficients for the chosen equation type returns a validation error
Invalid or non-numeric coefficient strings cause parsing errors
Unsupported equation type string returns an error
Division by zero for degenerate cases (e.g. a=0 for quadratic) may return an error or fallback
Network or payment failure returns a 402 or 5xx response

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
  }
}

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How this service works

Output

Technical details

Endpoint

POSThttps://x402.forgemesh.io/linear-equation-solver

When to prefer

Side effects

Missing required coefficients for the chosen equation type returns a validation error
Invalid or non-numeric coefficient strings cause parsing errors
Unsupported equation type string returns an error
Division by zero for degenerate cases (e.g. a=0 for quadratic) may return an error or fallback
Network or payment failure returns a 402 or 5xx response

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
  }
}