polynomial.py

Created by nicolas-patrois

Created on September 07, 2018

481 Bytes

Extension du script polynomial avec le cas delta<0 et une fonction canon qui donne la forme canonique.


from math import *
# roots(a,b,c) computes the solutions of the equation a*x**2+b*x+c=0
def roots(a,b,c):
  delta = b*b-4*a*c
  if delta == 0:
    return -b/(2*a)
  elif delta > 0:
    x_1 = (-b-sqrt(delta))/(2*a)
    x_2 = (-b+sqrt(delta))/(2*a)
    return x_1, x_2
  else:
    x_1=(-b-1j*sqrt(-delta))/(2*a)
    x_2=(-b+1j*sqrt(-delta))/(2*a)
    return x_1,x_2

def canon(a,b,c):
  x_s=-b/(2*a)
  y_s=-(b**2-4*a*c)/(4*a)
  print("%f*(x+%f)**2+%f"%(a,-x_s,y_s))