kvadratická rovnice, C (vc)

kvadratická rovnice

#include <stdio.h>
#include <math.h> //obsahuje sqrt()
int main()
    {   
    double a = 0, b = 0, c = 0;
    
    printf("Zadejte koeficienty: \n");
    scanf("%lf %lf %lf", &a, &b, &c);
    printf(" a = %lf\n b = %lf\n c = %lf\n", a, b, c);
    
    double d = b*b - 4*a*c;
    if(d > 0)
        {
        //realne koreny
        double sqrt_d = sqrt(d);
        double x1 = (-b + sqrt_d) / (2*a);
        double x2 = (-b - sqrt_d) / (2*a);
        
        printf("Koreny rovnice jsou:\n x1: %lf \n x2: %lf \n", x1, x2);
        }
    else if(d == 0)
        {
        //dvojnasobny koren
        double x = (-b + sqrt(d))/(2*a) ; 
        
        printf("Dvojnasobny koren kvadraticke rovnice je:\n x: %lf \n", x);
        }
    else
        {
        //komplexni cast programu :)
        
        //komplexni koreny
        printf("Rovnice ma komplexni koreny\n");
        
        double xr = -b/(2*a);
        double xi = sqrt(-d)/(2*a);
        
        printf("Koreny rovnice jsou:\n Koren 1:\n Realna cast: %lf \n Imaginarni cast: %lfi\n", xr, xi);
        printf("\n Koren 2:\n Realna cast: %lf \n Imaginarni cast: %lfi\n", xr, -xi);
        }
    
    return 0;
    }
// (x + 1)(x + 4)
// (x + 1)(x + 1) = x^2 + 2x + 1
// (x + (1-i))(x + (1+i) )= x^2 + 2x + 2 - vyjde -1+1i a -1-1i


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