delta.py

Created on December 19, 2024
1.13 KB
import math

def solve_quadratic(a, b, c):
    """
    Résout une équation quadratique de la forme ax^2 + bx + c = 0.
    """
    # Calcul du discriminant
    delta = b ** 2 - 4 * a * c

    # Affichage du discriminant
    print("Discriminant (Delta) =", delta)

    # Vérification des cas en fonction de Delta
    if delta > 0:
        # Deux solutions réelles distinctes
        x1 = (-b - math.sqrt(delta)) / (2 * a)
        x2 = (-b + math.sqrt(delta)) / (2 * a)
        print("Deux solutions réelles distinctes :")
        print("x1 =", x1)
        print("x2 =", x2)
    elif delta == 0:
        # Une solution réelle unique
        x1 = -b / (2 * a)
        print("Une solution réelle unique :")
        print("x =", x1)
    else:
        # Deux solutions complexes
        real_part = -b / (2 * a)
        imaginary_part = math.sqrt(-delta) / (2 * a)
        print("Deux solutions complexes :")
        print("x1 =", complex(real_part, -imaginary_part))
        print("x2 =", complex(real_part, imaginary_part))

# Exemple d'utilisation
# Coefficients de l'équation ax^2 + bx + c = 0
a = 1
b = -3
c = 2

solve_quadratic(a, b, c)