ROOTS OF A QUADRATIC EQUATION

AIM

To write a C program for finding roots of a quadratic equation

ALGORITHM

Step 1: Start

Step 2: Read values of a,b and c

Step 3: Calculate value of discriminant

            D←b*b-(4*a*c)

Step 4: if D←0

             Root←(-1*b/(2*a))

             Display Root

Step 5: if D>0

             Root1←(-b+√D)/2a

             Root2←(-b-√D)/2a

             Display Root1 and Root2

Step 6: if D<0, Display ‘roots are imaginary’

Step 7: Stop

PROGRAM

#include<stdio.h>

#include<conio.h>

#include<math.h>

void main()

{

    float a,b,c,d,r1,r2;

    printf("Enter the values of a,b,c\n");

    scanf("%f%f%f",&a,&b,&c);

    d=(b*b)-(4*a*c);

    r1=((-1*b)+sqrt(d))/(2*a);

    r2=(-b-sqrt(d))/(2*a);

        printf("Roots are real and distinct:\n%f\n%f",r1,r2);

    }

    else if(d==0)

    {

        r1=-b/(2*a);

        printf("Roots are real and equal:\n%f",r1);

    }

    else

    {

        printf("The roots are imaginary");

    }

    getch();

}

RESULT

The C program for findng the roots of a quadratic equation is completed successfully and the output is verified.