#include <iostream>
#include <cmath>
using namespace std;

int main() {
    double a, b, c, ex, bac, sum1, sr, sum2, prod, quo;
    
    cout.setf(ios::fixed);
    cout.setf(ios::showpoint);
    cout.precision(1);
    
    cout << "Using the Quadratic Formula.\n"
    << "-----------------------------------\n" 
    << "Please enter the value of a: ";
    cin >> a;
    cout << "Please enter the value of b: ";
    cin >> b;
    cout << "Please enter the value of c: ";
    cin >> c;
    
    ex = pow(b,2);
    cout << "-----------------------------------\n" 
    << "Evaluate the power of b,\n"
    << b << " ^ 2 = " << ex << endl;
    
    bac = -4 * a * c;
    cout << "Calculate the product of -4(a)(c), \n"
    << "-4(a)(c) = -4(" << a << ")("
    << c << ") = " << bac << endl;
    
    sum1 = ex + bac;
    cout << "Add the product of b and -4(a)(c), \n"
    << ex << " + " << bac << " = " << sum1 << endl;
    
    sr = sqrt(sum1);
    cout << "Evaluate the square root of " << sum1 << "," <<endl
    << "√" << sum1 << " = " << sr << endl;
   
    if (sr > 0) { 
        sum2 = -b + sr;
        cout << "Calculate the sum of -" << b << " and " << sr << "," << endl
        << "-" << b << " + " << sr << " = " << sum2 << endl;
    
        prod = 2 * a;
        cout << "Multiply for the product of 2 and (a), \n"
        << "2(" << a << ") = " << prod << endl;
    
        quo = sum2 / prod;
        cout << "Calculate the quotient of " << sum2 << " and "<< prod << "," << endl
        << sum2 << " / " << prod << " = " << quo << endl
        << "-----------------------------------\n"
        << "x = " << quo << endl 
        << "-----------------------------------\n";
    }
    
    else {
        cout << "-----------------------------------\n" 
        << " - Undefined -" << endl 
        << "The square root of a negative number does not exist" << endl 
        << "in the set of real numbers." << endl 
        << "-----------------------------------\n";
    }
    
    return 0;
}