# -*- coding: utf-8 -*-
"""
Created on Fri Oct 25 10:46:24 2019

@author: Seow Khaiwen
"""

import math
import cmath
a = input("input the value of coefficient a: ")
b = input("input the value of coefficient b: ")
c = input("input the value of coefficient c: ")
a=float(a)
b=float(b)
c=float(c)
discri= b**2-4*a*c
print("the discriminate is: ","%.6f"%discri)
if discri > 0:
    x1=(-b+math.sqrt(discri))/2*a
    x2=(-b-math.sqrt(discri))/2*a
    print("the equation has two distinct real roots" )
    print("x1 = ","%.6f"%round(x1,6))
    print("x2 = ","%.6f"%round(x2,6))
elif discri < 0:
    x1=(-b+cmath.sqrt(discri))/2*a
    x2=(-b-cmath.sqrt(discri))/2*a
    print("the equation has two complex roots")
    print("x1 = ", "%.6f"%x1.real,"+","%.6f"%x1.imag,"i")
    print("x2 = ","%.6f"%x2.real,"%.6f"%x2.imag,"i")
else:
    x1=-b/2*a
    print("the equation has one repeated root")
    print("x1 = x2 = ","%.6f"%x1)