**Q.**Write a program to find the roots of a quadratic equation.

**Ans.**

Process of finding root of quadratic equation in C program:

The roots of any quadratic equation of the the form,

ax

has minimum two roots.^{2}+bx+c=0The formula of calculating these roots are as:

Where:r1,r2 are roots. First of all user entered values of a,b and c. Then it finds out numerator- which is the discriminate. Then checks if the numerator is greater, equals or less than zero. Prints out the results according to the situation.

**#include**<stdio.h>

**#include**<conio.h>

**#include**<math.h>

int main()

{

int a,b,c;

float r1,r2,up;

printf("Enter value of a : ");

scanf("%d", &a);

printf("Enter value of b : ");

scanf("%d", &b);

printf("Enter value of c : ");

scanf("%d",

**&**c);

up=(b*b)-(4*a*c);

if(up>0)

printf("\n ROOTS ARE REAL ROOTS\n");

r1 = ((-b) + sqrt(up)) /(2*a);

r2 = ((-b) - sqrt(up)) /(2*a);

printf("\n ROOTS : %f, %f\n", r1, r2);

}

else if(up==0)

{

printf("\n ROOTS ARE EQUAL\n");

r1 = (-b/(2*a));

printf("\n ROOT IS...: %f\n", r1);

}

else

printf("\n ROOTS ARE IMAGINARY ROOTS\n");

getch();

**return**

**0**;

}

**Output****:-**

Enter value of b : -13

Enter value of c : 6

ROOTS ARE REAL ROOTS

ROOTS : 1.500000, 0.666667

Enter value of b : 1

Enter value of c : -2

ROOTS ARE REAL ROOTS

ROOTS : 1.000000, -2.000000

i want this program in the form of algorithm and flowchart

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