Home/Algebra/Equations/Quadratic formula7. EquationsQuadratic formulaLevel: fundamentalIn 7. EquationsFormulaCopy LaTeXx=−b±b2−4ac2ax=\frac{-b\pm\sqrt{b^2-4ac}}{2a}x=2a−b±b2−4acTagsalgebraequationsalgebra formulaDetailSolves every quadratic equation with a nonzero.Explore the ideaFound an error? Contact us.Related formulasRelatedDiscriminantΔ=b2−4ac\Delta=b^2-4acΔ=b2−4acOpen formulaOpen in sectionRelatedQuadratic via rootsax2+bx+c=a(x−r1)(x−r2)ax^2+bx+c=a(x-r_1)(x-r_2)ax2+bx+c=a(x−r1)(x−r2)Open formulaOpen in sectionRelatedVieta's formulasr1+r2=−ba;r1r2=car_1+r_2=-\frac ba;\quad r_1r_2=\frac car1+r2=−ab;r1r2=acOpen formulaOpen in section