PROGRAM TO FIND ROOTS OF QUADRATIC EQUATION IN C

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 In this example, you will learn a program to find the roots of quadratic equations.


The standard form of Quadratic equation is:

ax²+bx+c = 0,

and a,b,c are the real numbers 

such that a !=0


b²-4ac is known as the discriminant of the quadratic equation and it tells about the nature of roots of quadratic equation.

1. If discriminant is >0, then roots are real and different.

2. If discriminant is =0, then roots are real and equal.

3.If discriminant is <0, then roots are not real(i.e. complex) and different. 


Program:


//Program to find roots of quadratic equation

#include<math.h>
#include<stdio.h>
int main( )
{
double a, b, c, disc, r1, r2 , real_part, imag_part;

printf("Enter coefficients a, b and c: ");
scanf("%lf %lf %lf", &a, &b, &c);
disc = b * b - 4 * a * c;

if (disc > 0)
{
    r1 = (-b + sqrt(disc)) / (2 * a);
    r2 = (-b - sqrt(disc)) / (2 * a);
    printf("r1 = %.2lf and r2 = %.2lf", r1, r2);
}
else if (disc == 0)
{
    r1 = r2 = -b / (2 * a);
    printf("r1 = r2 = %.2lf;", r1);
}
else
{
    real_part = -b / (2 * a);
    imag_part = sqrt(-disc) / (2 * a);
    printf("r1 = %.2lf+%.2lfi and r2 = %.2f-%.2fi", real_part, imag_part, real_part, imag_part);
}

return 0;
}


Output:

Enter coefficients a, b and c: 2       12      3
r1= -0.26     and r2= -5.74


So that's it ! Just try this code by your own. If you have any doubts then feel free to drop a comment . I'll be happy to answer your questions .

Keep coding....

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