/*****************************************************************************
*       Calculates the roots of a quadratic equation.                        *
*       Inputed: a, b, c such that ax^2+bx+c=0                               *
*       Outputed: x, y (the values of x to make the above equation true)     *
*       Written: September 18, 2001                                          *
*       By: Ronald Roberts                                                   *
*****************************************************************************/

//Program 6
//18SEP01
#include <iostream.h>
#include <math.h>
int main()
{
/* declaration of variables */
double a=0, b=0, c=0, x=0, y=0;

/* instruction statements and user input */
cout<<"This program is used to calculate the roots of qradratic equations by using the quadratic equation."<<endl;
cout<<"A quadratic equation is something in the form of ax squared + bx squared + c=0."<<endl;
cout<<"Please enter A:"<<endl;
cin>>a;
cout<<"Please enter B:"<<endl;
cin>>b;
cout<<"Please enter C:"<<endl;
cin>>c;

/* calculation code */
x=(-b+sqrt((pow(b, 2)-4*a*c)))/2.0*a;
y=(-b-sqrt((pow(b, 2)-4*a*c)))/2.0*a;

/* output results */
cout<<"The roots are "<<x<<" and "<<y<<" . "<<endl;

return 0;
}

/* OUTPUT
This program is used to calculate the roots of qradratic equations by using the
quadratic equation.
A quadratic equation is something in the form of ax squared + bx squared + c=0.
Please enter A:
1
Please enter B:
-1
Please enter C:
-6
The roots are 3 and -2 .
*/