Algebra
Quadratic equations
Roots, discriminant, vertex and Vieta's formulas.
Algebra
Quadratic equation
D = b² − 4ac; x = (−b ± √D) / 2a→AlgebraQuadratic discriminant
D = b²−4ac→AlgebraLarger quadratic root
x₁ = (−b+√D)/(2a)→AlgebraSmaller quadratic root
x₂ = (−b−√D)/(2a)→AlgebraParabola vertex x-coordinate
xᵥ = −b/(2a)→AlgebraParabola vertex y-coordinate
yᵥ = c−b²/(4a)→AlgebraRoot sum using Vieta
x₁+x₂ = −b/a→AlgebraRoot product using Vieta
x₁x₂ = c/a→