#include "library.h"

void verify(double L, double M, double N, double x)
{ print(", ax2 + bx +c = ");
  print(L*x*x + M*x + N);
  new_line(); }

void solve_quadratic(double a, double b, double c)
{ const double disc = b*b - 4 * a * c;
  if (disc < 0)
    print("OH NO!, no solutions\n");
  else if (disc == 0)
  { print("the solution is ");
    const double x1 = -b / (2 * a);
    print(x1);
    verify(a, b, c, x1); }
  else
  { print("one solution is ");
    const double x1 = (-b + sqrt(disc)) / (2 * a);
    print(x1);
    verify(a, b, c, x1);
    print("another solution is ");
    const double x2 = (-b - sqrt(disc)) / (2 * a);
    print(x2);
    verify(a, b, c, x2); } }

void main() 
{ print("Quadratic equations\n");
  print("type A: ");
  const double a = read_double();
  print("type B: ");
  const double b = read_double();
  print("type C: ");
  const double c = read_double();
  solve_quadratic(a, b, c); }