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#include <stdio.h>
#include <math.h>
int nb_racines(int a, int b, int c){
float delta = b*b-4*a*c;
if (delta > 0) return 2;
else if (delta == 0) return 1;
return 0;
}
int nb_racines_delta(int a, int b, int c, float*delta){
*delta = b*b-4*a*c;
if (*delta > 0) return 2;
else if (*delta == 0) return 1;
return 0;
}
int racines(int a, int b, int c, float*r1, float*r2){
float delta;
int nb = nb_racines_delta(a, b, c, &delta);
*r1 = (-b-sqrt(delta))/(2*a);
*r2 = (-b+sqrt(delta))/(2*a);
return nb;
}
void affiche_polynome(int a, int b, int c){
printf("Polynome : ");
if (a == -1) printf("-");
else if (a != 1) printf("%d", a);
printf("x*x");
if (b != 0) {
printf(" ");
if (b == -1) printf("-");
else if (b != 1 && b > 0) printf("+%d", b);
else if (b != 1 && b < 0) printf("%d", b);
printf("x");
}
if (c != 0) {
printf(" ");
if (c > 0) printf("+%d", c);
else if (c < 0) printf("%d", c);
}
printf("\n");
}
void affiche_racine(int a, int b, int c){
float r1 = 1.0, r2 = 1.0;
int nb_r = racines(a, b, c, &r1, &r2);
if (nb_r == 2) printf("Le polynome a 2 racines : %.3f et %.3f\n", r1, r2);
else if (nb_r == 1) printf("Le polynome a une racine double : %.3f\n", r1);
else printf("Le polynome n'a pas de racine reelle.\n");
}
int main(){
printf("\n\n=========================================================\n\n");
int a = 4, b = 4, c = 1;
affiche_polynome(a, b, c);
affiche_racine(a, b, c);
printf("\n");
a = 4; b = 6; c = 1;
affiche_polynome(a, b, c);
affiche_racine(a, b, c);
printf("\n");
a = -7; b = -5; c = -1;
affiche_polynome(a, b, c);
affiche_racine(a, b, c);
return 0;
}
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