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#include<iostream>
#include<cmath>
using namespace std;
int main()
{
double a, b, c;
double root1, root2, imaginary;
double discriminant;
cout << "Finding the root of the equation a * x^2 + b * x + c = 0\n";
cout << "Enter the value of a: ";
cin >> a;
if (a < 0.00000001)
{
cout << "If a is 0, then this is not a quadratic equation!\n";
return 1;
}
cout << "Enter the value of b: ";
cin >> b;
cout << "Enter the value of c: ";
cin >> c;
discriminant = (b * b) - (4 * a * c);
if (discriminant > 0)
{
root1 = (-b + sqrt(discriminant)) / (2 * a);
root2 = (-b - sqrt(discriminant)) / (2 * a);
cout << "Two distinct and real roots exist: " << root1 << " and " << root2 << endl;
}
else if (discriminant == 0)
{
root1 = root2 = -b / (2 * a);
cout << "Two equal and real roots exist: " << root1 << " and " << root2 << endl;
}
else if (discriminant < 0)
{
root1 = root2 = -b / (2 * a);
imaginary = sqrt(-discriminant) / (2 * a);
cout << "Two distinct complex roots exist: " << root1 << "+" << imaginary << "i and " << root2 << "-" << imaginary << "i\n";
}
return 0;
}
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