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Graphs of 2nd degree polynomials and their discriminants. The blue one has 2 real roots (positive discriminant), the red one has 1 real root (a.k.a double root) (zero discriminant), and the yellow one has 1 complex root, (negative discriminant).
Courbes de polynômes de degré 2 et leur discriminant. La bleue a 2 racines réelles car son discriminant est positif, la rouge a 1 racine réelle (ou double) ; son discriminant est nul, et la jaune a 1 racine complexe ; son discriminant est négatif.