Discriminante

Concept — Discriminante.

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Linked atoms

16 linked atoms.

10 Equazioni di secondo grado e fratte

• Cardano and the quadratic formula
• The quadratic formula and the discriminant

11 Disequazioni

• Case a negative, Delta negative — always negative
• Case a positive, Delta positive
• Case Delta negative — parabola always positive
• Case Delta zero — tangent parabola
• Factors always of the same sign
• The sign of the parabola
• The six cases of the parabola

12 La parabola

• Line tangent to the parabola
• Line–parabola intersections
• Vertex, axis and concavity

18 Fasci di rette

• Example — Secant, tangent, external
• Example — Tangency to a parabola

20 Circonferenza nel piano cartesiano

• Example — tangents with the delta method
• The delta method and the distance method