# Quadratic equations over the reals

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Quadratic equations over the reals](https://ocme.evemisslab.com/en/atlas/atlas-quadratic-equation/)

For a real equation with a nonzero quadratic coefficient, the discriminant classifies its distinct real roots. The equation, root set, and repeated roots are kept distinct.

atlas-quadratic-equation · canonical_mko

[Quadratic equations over the reals](https://ocme.evemisslab.com/en/mko/mko-quadratic-equation/)

## Prerequisite nodes


- [Equation](https://ocme.evemisslab.com/en/atlas/atlas-equation/)
- [Natural-number powers and principal square roots](https://ocme.evemisslab.com/en/atlas/atlas-power-root/)
- [Univariate polynomials over the rationals](https://ocme.evemisslab.com/en/atlas/atlas-polynomial/)