Question

Draw a Flow chart and write a C++ program to solve the quadratic equation ax^2 + bx + c = 0

where coefficient a is not equal to 0. The equation has two real roots if its discriminator d = b2

– 4ac is greater or equal to zero. The program gets the three coefficients a, b, and c, computes

and displays the two real roots (if any). It first gets and tests a value for the coefficient a. if this

value is zero, the program displays an error message and terminates, otherwise it proceeds to

get a value for the coefficient b and a value for the coefficient c. Next it computes and tests the

discriminator d = b^2 – 4ac. If the discriminator d is negative, the program displays an error

message “No Real Roots!!” and terminates, otherwise it proceeds to compute and display the two

real roots R1 and R2 according to the following formulas:

R1 =

−b+√b

2−4ac

2a

and R2 =

−b−√b

2−4ac

2a

Answer 1

#include<iostream>
#include<cmath>
using namespace std;
int main()
{
double a,b,c,d,r1,r2;
//input coefficient a
cout<<"Enter a: ";
cin>>a;
if(a==0)
{
cout<<"Coefficient a must not be equal to 0"<<endl;
}
else
{
//input coefficients b and c
cout<<"Enter b and c: ";
cin>>b>>c;
//calculate discriminant
d=(b*b)-(4*a*c);
if(d<0) //no real roots
cout<<"No Real Roots!!"<<endl;
else
{
//calculate roots
r1=(-b+sqrt(d))/(2*a);
r2=(-b-sqrt(d))/(2*a);
cout<<"Roots are r1= "<<r1<<" and r2= "<<r2<<endl;
}
}
}

Output