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#include <iostream>
#include <cmath> // pour sqrt
using namespace std;
int main() {
cout << "Equation du second degré" << endl;
// Déclaration des variables
double a = 0, b = 0, c = 0;
double delta = 0, x = 0, x1 = 0, x2 = 0;
// Saisie de a, b et c
cout << "RESOLUTION EQUATION 2 DEGRE FORME aX² + bX + c = 0" << endl;
cout << "Saisir a : ";
cin >> a;
cout << "Saisir b : ";
cin >> b;
cout << "Saisir c : ";
cin >> c;
// Vérification de a (éviter division par 0)
if (a == 0) {
cout << "Ce n'est pas une équation du second degré (a = 0)." << endl;
return 0;
}
// Calcul du discriminant
delta = b * b - 4 * a * c;
cout << "Δ = " << delta << endl;
if (delta == 0) {
x = -b / (2 * a);
cout << "Delta nul → une seule racine double : x = " << fixed << setprecision(3) << x << endl;
}
else if (delta > 0) {
x1 = (-b - sqrt(delta)) / (2 * a);
x2 = (-b + sqrt(delta)) / (2 * a);
cout << "Delta positif → deux racines réelles :" << endl;
cout << "x1 = " << fixed << setprecision(3) << x1
<< "\t x2 = " << fixed << setprecision(3) << x2 << endl;
}
else {
cout << "Delta négatif → pas de solutions réelles." << endl;
}
return 0;
}
