from math import sqrt from typing import Tuple def QuadraticEquation(a: int, b: int, c: int) -> Tuple[str, str]: """ Given the numerical coefficients a, b and c, prints the solutions for a quadratic equation, for a*x*x + b*x + c. >>> QuadraticEquation(a=1, b=3, c=-4) ('1.0', '-4.0') >>> QuadraticEquation(5, 6, 1) ('-0.2', '-1.0') """ if a == 0: raise ValueError("Coefficient 'a' must not be zero for quadratic equations.") delta = b * b - 4 * a * c if delta >= 0: return str((-b + sqrt(delta)) / (2 * a)), str((-b - sqrt(delta)) / (2 * a)) """ Treats cases of Complexes Solutions(i = imaginary unit) Ex.: a = 5, b = 2, c = 1 Solution1 = (- 2 + 4.0 *i)/2 and Solution2 = (- 2 + 4.0 *i)/ 10 """ snd = sqrt(-delta) if b == 0: return f"({snd} * i) / 2", f"({snd} * i) / {2 * a}" b = -abs(b) return f"({b}+{snd} * i) / 2", f"({b}+{snd} * i) / {2 * a}" def main(): solutions = QuadraticEquation(a=5, b=6, c=1) print("The equation solutions are: {} and {}".format(*solutions)) # The equation solutions are: -0.2 and -1.0 if __name__ == "__main__": main()