Quadratic Solve

{
  "a": 1,
  "asOf": "2026-10-11T08:51:19.381Z",
  "axisOfSymmetry": "x = 2.5",
  "b": -5,
  "c": 6,
  "degraded": false,
  "disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
  "discriminant": 1,
  "factored": "1(x - 2)(x - 3)",
  "notChecked": [
    "exact (symbolic) roots: results are decimals",
    "roots of huge or tiny coefficients beyond double precision"
  ],
  "opensUpward": true,
  "productOfRoots": 6,
  "reasons": [
    "Computed with the numerically stable form that avoids cancellation when b is large."
  ],
  "rootType": "two distinct real roots",
  "roots": [
    2,
    3
  ],
  "source": "computed locally",
  "sumOfRoots": 5,
  "summary": "1x^2 + -5x + 6 = 0: x = 2 or 3 (discriminant 1).",
  "verdict": "TWO_REAL_ROOTS",
  "vertex": {
    "x": 2.5,
    "y": -0.25
  },
  "yIntercept": 6
}

# bash or zsh: see the payment challenge. Nothing is charged.
curl -sS -g -i 'https://math-geometry.x402tookit.com/quadratic-solve?a=1&b=-5&c=6'

# x402 v2 sends the challenge base64-encoded in the PAYMENT-REQUIRED header (v1 sends it in the body).
# To read the header:
curl -sS -g -o /dev/null -D - 'https://math-geometry.x402tookit.com/quadratic-solve?a=1&b=-5&c=6' \
  | grep -i '^payment-required:' | cut -d' ' -f2 | tr -d '\r' | base64 --decode

// npm i @x402/fetch @x402/evm viem
import { wrapFetchWithPayment, x402Client } from "@x402/fetch";
import { registerExactEvmScheme } from "@x402/evm/exact/client";
import { privateKeyToAccount } from "viem/accounts";

// Pays at most $0.02 per call.
const client = new x402Client().setSpendControls({ maxAmountPerPayment: "$0.02" });
registerExactEvmScheme(client, { signer: privateKeyToAccount(process.env.EVM_PRIVATE_KEY) });
const pay = wrapFetchWithPayment(fetch, client);

// Not sure it's safe to pay? ToolVet checks it first for $0.005. Pay for that from a separate
// client: this one is capped at $0.02 per payment. GET https://toolvet.app/api/v1/check?url=https%3A%2F%2Fmath-geometry.x402tookit.com%2Fquadratic-solve
const res = await pay("https://math-geometry.x402tookit.com/quadratic-solve?a=1&b=-5&c=6");
console.log(res.status, await res.text());

# pip install "x402[requests,evm]"
import os
from eth_account import Account
from x402 import x402ClientSync
from x402.http.clients import x402_requests
from x402.mechanisms.evm import EthAccountSigner
from x402.mechanisms.evm.exact.register import register_exact_evm_client

# Pays at most $0.02 per call.
client = x402ClientSync().set_spend_controls({"max_amount_per_payment": "$0.02"})
register_exact_evm_client(client, EthAccountSigner(Account.from_key(os.environ["EVM_PRIVATE_KEY"])))

with x402_requests(client) as session:
    res = session.get("https://math-geometry.x402tookit.com/quadratic-solve?a=1&b=-5&c=6")
    print(res.status_code, res.text)