1. Quadratic Equation

Aim:
        To write a C program to find the roots of a Quadratic equation.

Program:

#include <math.h>

#include <stdio.h>

int main() 

{

    double a, b, c, discriminant, root1, root2, realPart, imagPart;

    printf("Enter coefficients a, b and c: ");

    scanf("%lf %lf %lf", &a, &b, &c);

    discriminant = b * b - 4 * a * c;

    // condition for real and different roots

    if (discriminant > 0) {

        root1 = (-b + sqrt(discriminant)) / (2 * a);

        root2 = (-b - sqrt(discriminant)) / (2 * a);

        

        printf("Real and Different roots \n");

        printf("root1 = %.2lf and root2 = %.2lf", root1, root2);

    }

    // condition for real and equal roots

    else if (discriminant == 0) {

        root1 = root2 = -b / (2 * a);

        

        printf("Real and Equal roots \n");

        printf("root1 = root2 = %.2lf;", root1);

    }

    // if roots are not real

    else {

        realPart = -b / (2 * a);

        imagPart = sqrt(-discriminant) / (2 * a);

        

        printf("Real and Imaginary roots \n");

        printf("root1 = %.2lf+%.2lfi and root2 = %.2f-%.2fi", realPart, imagPart, realPart, imagPart);

    }

    return 0;

}

Sample Input 1:

E    Enter coefficients a, b and c: 1 3 1

   Sample Output 1:

R    Real and Different roots

r     root1 = -0.38 and root2 = -2.62

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Sample Input 2:

Enter coefficients a, b and c: 1 2 1

   Sample Output 2: 

Real and Equal roots

root1 = root2 = -1.00;

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Sample Input 3:

Enter coefficients a, b and c: 1 1 1

   Sample Output 3: 

Real and Imaginary roots

root1 = -0.50+0.87i and root2 = -0.50-0.87i

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