{"uid":"cap_yWmtXZnIz1U8LQPOmilrx","slug":"numora-quadratic-equation-solver-5d36a74f","name":"Numora Quadratic Equation Solver","description":"100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.","url":"https://numormo.vercel.app/api/solve/quadratic","method":"POST","headers":{},"bodySchema":{"type":"object","required":["a","b","c"],"properties":{"a":{"type":"number"},"b":{"type":"number"},"c":{"type":"number"}}},"responseSchema":{"type":"object","required":["success","result","computation"],"properties":{"result":{"type":"object","description":"Computation result varies by endpoint"},"success":{"type":"boolean","description":"Always true on success"},"computation":{"type":"string","description":"Human-readable description of what was computed"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"registry","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":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_PlbTIIVtClwOk6IbLtXmx","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Solves quadratic equations (ax² + bx + c = 0) and returns the real or complex roots along with a human-readable computation summary","exampleAgentPrompt":"Solve the quadratic equation 2x² + 5x - 3 = 0 using the Numora math API — coefficients are a=2, b=5, c=-3.","exampleUseCases":[{"title":"Physics projectile trajectory root finding","prompt":"I need to find when a projectile hits the ground — its height is modeled by -4.9x² + 20x + 1.5, so solve that quadratic for x with a=-4.9, b=20, c=1.5."},{"title":"Quadratic optimization in business model","prompt":"My profit function is modeled as -3x² + 18x - 15, where x is units sold in thousands. Find the break-even points by solving that quadratic with a=-3, b=18, c=-15."},{"title":"Student homework equation check","prompt":"Can you solve this quadratic for me: x² - 6x + 9 = 0, so a=1, b=-6, c=9? I want to see the roots and a plain-English explanation of the computation."}],"resultDescription":"Returns a JSON object with a 'success' boolean, a 'result' object containing the computed roots (real or complex) and discriminant information, and a 'computation' string providing a human-readable description of what was solved and how.","failureModes":["Missing required coefficients a, b, or c returns a validation error","Non-numeric coefficient values cause a 400 bad request","Payment failure via x402 blocks the request","Coefficient a=0 may cause a division-by-zero or degenerate-case error (not a quadratic)","Server/deployment downtime on Vercel free tier"],"whenToPreferThis":"Choose this endpoint when you need a fast, dependency-free algebraic solution to a quadratic equation and want a machine-readable result plus a human-readable explanation. Ideal for AI agents embedded in tutoring, engineering, or financial modeling workflows that require on-demand polynomial root finding without spinning up a symbolic math library or calling a general-purpose LLM for arithmetic.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T00:44:05.047Z","isFirstParty":false}