Home/Algebra/Equations/Discriminant7. EquationsDiscriminantLevel: fundamentalIn 7. EquationsFormulaCopy LaTeXΔ=b2−4ac\Delta=b^2-4acΔ=b2−4acTagsalgebraequationsalgebra formulaDetailDetermines the nature of the roots of a real quadratic.Explore the ideaFound an error? Contact us.Related formulasRelatedQuadratic formulax=−b±b2−4ac2ax=\frac{-b\pm\sqrt{b^2-4ac}}{2a}x=2a−b±b2−4acOpen formulaOpen in sectionRelatedRectangular formi2=−1;z=a+bii^2=-1;\quad z=a+bii2=−1;z=a+biOpen formulaOpen in section