# include <iostream.h>
# include <math.h> //defines the sqrt( ) function
int main( )
{
//implements the quadratic formula
double a, b, c ;
cout <<"Enter the coefficients : "<<endl;
cout << "\t a : ";
cin >>a;
cout << "\t b : ";
cin >>b ;
cout << "\t c : ";
cin >> c ;
cout<<" The equation is : " << a << " * x * x + " << b << " * x + " << c << " = 0 " <<endl;
double d = b * b - 4 * a * c ;
double sqrtd = sqrt (d);
double x1 = ( - b + sqrtd) / (2 * a ) ;
double x2 = ( - b - sqrtd) / (2 * a ) ;
cout << "The Solution are : " <<endl;
cout << "\t x1 =" <<x1 <<endl;
cout << "\t x2 =" <<x2 <<endl;
cout <<"Check : " <<endl;
cout <<"\t a*x1*x1 + b*x1 + c = " << a*x1*x1 + b*x1 + c<<endl;
cout <<"\t a*x2*x2 + b*x2 + c = " << a*x2*x2 + b*x2 + c<<endl;
return 0;
}
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