3 - Les alternatives, le debogueur (et les structures)

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Exercice 5

Calculer les racines d’une équation du second degré.

a x^{2} + b x + c = 0

Δ = b^{2} - 4 a c

x_{1}, x_{2} = \frac{- b \pm \sqrt{Δ}}{2 a}

Exemples (valeurs de tests) :

1 x² + 2x -3 => delta > 0 => x1 = 1 et x2 = -3
1 x² + 2x +1 => delta = 0 => x1 = -1 et x2 = -1 (normal, une seule solution si delta nul)
1 x² + 1x +1 => delta < 0 => Pas de solutions dans R

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