calculate_quadratic_equation
Solve quadratic equation ax²+bx+c=0 with discriminant analysis. Returns real or complex roots, discriminant, and vertex coordinates. Ideal for math homework and physics problems.
Instructions
Solve quadratic equation ax²+bx+c=0 with discriminant analysis. Use for math homework or physics problems. Inputs: coefficients a, b, c. Returns roots (real or complex), discriminant, and vertex. See list_bundles for related 'math' calculators.
Input Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| a | Yes | Coefficient a | |
| b | Yes | Coefficient b | |
| c | Yes | Coefficient c |
Output Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| result | No | Computed result. Object whose fields depend on the tool (e.g. {tax, marginal_rate, brackets} for tax tools, {volume_l, gallons} for volume tools). | |
| formula | No | Human-readable formula or method used (e.g. "I=P·r·t", "Magnus formula"). | |
| source | No | Authoritative source for the rule or formula (e.g. "Article 197 CGI", "NF DTU 21"). | |
| reference_url | No | Link to a calcul2 page documenting the calculation in detail. |