Discriminant Calculator

Understand the discriminant calculator result

Discriminant Calculator is designed for checking a quadratic before factoring or applying the quadratic formula. It asks for coefficient a, coefficient b, coefficient c and reports discriminant and root type. The discriminant is b squared minus four times a times c. A positive value means two real roots, zero means a repeated root, and a negative value means a complex-conjugate pair. By exposing discriminant and root type, Discriminant Calculator makes this specific arithmetic inspectable instead of presenting an unexplained number.

With the page defaults of Coefficient a 1, Coefficient b -5, Coefficient c 6, the verified output is Discriminant 1, Root type two distinct real roots. Keep the sign of b when entering a quadratic such as x squared minus 5x plus 6. In Discriminant Calculator, each labeled default remains visible while you edit, so you can change one assumption at a time and trace how discriminant responds.

Method, limits, and private processing

It classifies roots but does not calculate their numerical values. Discriminant Calculator evaluates the entered values entirely in your browser, without sending the inputs to a server. When using its discriminant and root type, retain the stated method and input units because this result is bounded by the assumptions of the discriminant is b squared minus four times a times c.