First, the program accepts 3 values and then uses the expression b2 – 4ac is called the discriminant. The value of the discriminant shows how many roots f(x) has: - If b2 – 4ac > 0 then the quadratic function has two distinct real roots. - If b2 – 4ac = 0 then the quadratic function has one repeated real root.

Then if the result, lets name it d. If d is less than 0 it uses the formula -b/(2*a). and if d is greater than 0 it uses the formula (-b +square root of d)/(2*a).

```
#include<stdio.h>
#include <math.h>
int main(){
printf("Program to print the Quadratic Equation");
float a,b,c,r1,r2,d;
printf("Enter the value of a,b,c\n");
scanf("%f%f%f",&a,&b,&c);
d=b*b-4*a*c;
if(d==0)
{
printf("Roots are real and equal\n");
r1=-b/(2*a);
r2=-b/(2*a);
printf("Root1=%f,Root 2=%f\n",r1,r2);
}
else if(d>0)
{
printf("Roots are real and defined");
r1=(-b+sqrt(d)/(2*a));
r2=(-b-sqrt(d)/(2*a));
printf("Root 1=%f",r1);
printf("Root 2=%f",r2);
}
else{
printf("Root ax are imaginary\n");
}
}
```

This is a simple program to find the roots of a quadratic equation. This program uses math.h to find the sq root.

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