import sys
import math


def quadratic(a, b, c):
    disc = b**2 - 4*a*c
    if disc < 0:
        raise ValueError("There are no real solutions.")
    if disc == 0:
        return -b / (2*a)
    else:
        return (-b + math.sqrt(disc)) / (2*a), (-b - math.sqrt(disc)) / (2*a)


if len(sys.argv) < 4:
    print("A quadratic needs three coefficients")
    exit()

try:
    a = int(sys.argv[1])
    b = int(sys.argv[2])
    c = int(sys.argv[3])
    if a == 0:
        raise ValueError("Not a valid quadratic: the leading coefficient cannot be zero.")

    print(f"The equation {a}x^2 + {b}x + {c} = 0 has these solutions:")
    if isinstance(quadratic(a,b,c), float):
        x_1 = quadratic(a, b, c)
        print(f"x = {x_1:.2f}")
    else:
        x_1, x_2 = quadratic(a, b, c)
        print(f"x = {x_1:.2f} and x = {x_2:.2f}")
except ValueError as e:
    print(e)