quadratic equation
ax^2 +bx +c =0
quadratic formula

program to find the roots of quadratic equation.
program
#include <iostream.h>
#include <conio.h>
#include<math.h>
int main()
{
float a, b, c, x1, x2, determinant, realPart, imaginaryPart;
cout << "Enter coefficients a, b and c";
cin >> a >> b >> c;
determinant = b*b - 4*a*c;

if (determinant > 0)
{
x1 = (-b + sqrt(determinant)) / (2*a);
x2 = (-b - sqrt(determinant)) / (2*a);
cout << "Roots are real and different." << endl;
cout << "x1 = " << x1 << endl;
cout << "x2 = " << x2 << endl;
}

else if (determinant == 0)
{
cout << "Roots are real and same." << endl;
x1 = (-b + sqrt(determinant)) / (2*a);
cout << "x1 = x2 =" << x1 << endl;
}

else {
realPart = -b/(2*a);
imaginaryPart =sqrt(-determinant)/(2*a);
cout << "Roots are complex and different." << endl;
cout << "x1 = " << realPart << "+" << imaginaryPart << "i" << endl;
cout << "x2 = " << realPart << "-" << imaginaryPart << "i" << endl;
}
getch();
return 0;
}