/* 
quad_root.cpp
This program takes in the three coefficients a, b and c of a quadratic equation 
ax^2 + bx + c =0 and outputs the real roots of the equation.

*/

#include<iostream>
#include<cmath>

using namespace std ;

int main()
{
 //for setting the nunmber of digits to be displayed after the decimal point.
int n_digits = 1;
cout.precision(n_digits);

cout<< "This program takes in the three coefficients a,b and c of a quadratic equation ax^2 + bx + c =0 and outputs the real roots of the equation."<<endl;


double a(0.), b(0.),c(0.) ; // declare and initialize.


cout << " Please enter the three coefficients for the equation:" << endl;
cin >> a >> b >> c ;

cout << "You entered  a= " << a << ",  b = " << b << " and c = " << c << endl; 

double d = sqrt( b*b - 4.0*a*c ) ;
double r1 = (-b + d)/(2.0*a);
double r2 = (-b - d)/(2.0*a);
cout << " The roots are: " << r1 << " and " <<  r2<<" ." <<endl;
 if (isnan(r1)    )
cout << "bad news"<<endl;

return 0;
}