{"uid":"cap_5U6LwWG_p_18A_3BCUBuW","slug":"signaldesk-ai-quadratic-roots-solver-7dc2f5a5","name":"SignalDesk AI Quadratic Roots Solver","description":"Evidence-backed autonomous AI jobs and paid data tools. Queue/D1/cron run outside the chat; free quotas and bounded execution apply.","url":"https://x402-agent.kariguetoazul.workers.dev/api/math/quadratic-roots?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"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."}}},"responseSchema":{"type":"json","example":{"real_roots":[1,2],"discriminant":1}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.001","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.001/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.001","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.001","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_9QKyr5rMTxD_ejiaYaonA","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.001","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the real roots and discriminant of a quadratic equation ax² + bx + c = 0 given coefficients a, b, and c","exampleAgentPrompt":"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.","exampleUseCases":[{"title":"Parabola x-intercept finder","prompt":"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?"},{"title":"Discriminant check for real solutions","prompt":"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?"},{"title":"Engineering equation solver","prompt":"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?"}],"resultDescription":"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.","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-13T00:41:44.406Z","isFirstParty":false,"canonicalSlug":"signaldesk-ai-quadratic-roots-solver-7dc2f5a5"}