{"uid":"cap_nU5IIzjxuCsDPaMVp154s","slug":"numora-quadratic-equation-solver-d7bcae97","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://numomo.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_YzCGmidD95uPlPJ-1xKAh","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 of the form ax² + bx + c = 0, returning all real or complex roots","exampleAgentPrompt":"Can you solve the quadratic equation 3x² - 7x + 2 = 0 for me? The coefficients are a=3, b=-7, and c=2.","exampleUseCases":[{"title":"Physics projectile motion roots","prompt":"I need to find when a ball hits the ground — its height follows h = -4.9t² + 20t + 1.5. Solve that quadratic with a=-4.9, b=20, c=1.5 to find the times t when it lands."},{"title":"Break-even point calculation","prompt":"My profit function is -2x² + 12x - 10 where x is units sold in thousands. Solve that quadratic (a=-2, b=12, c=-10) to find the break-even points."},{"title":"Algebra homework check","prompt":"Can you solve x² + 4x + 4 = 0 for me? So a=1, b=4, c=4. I want to see if it has one repeated root or two separate ones."}],"resultDescription":"Returns a JSON object with a 'success' boolean, a 'result' object containing the computed roots (real or complex) and discriminant value, and a 'computation' string describing in human-readable form what was calculated (e.g. 'Solved quadratic equation 3x² - 7x + 2 = 0').","failureModes":["Missing required coefficient (a, b, or c) returns validation error","Non-numeric input values cause a 400 error","When discriminant is negative, complex/imaginary roots are returned (not an error, but agent must handle complex number format)","Coefficient a=0 degenerates to a linear equation and may return an error or unexpected result","Payment failure via x402 micropayment returns 402 status"],"whenToPreferThis":"Choose this endpoint when you need a reliable, zero-dependency pure math computation for quadratic roots and want structured JSON output with a human-readable description. Prefer this over implementing the quadratic formula in code when operating in an agent pipeline that benefits from verified external math computation, especially for financial or physics calculations where accuracy matters. Use this instead of a general-purpose code execution tool when you want a lightweight, deterministic, low-latency math call.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T18:32:06.299Z","isFirstParty":false}