Réponse :
Bonsoir,
Explications étape par étape
Ce programme en python devrait vous aider.
#-----------------------------------------------
def fnc_f(p):
return 2*p*p-20.5*p+100
def fnc_g(p):
return 9*p+38
#-----------------------------------------------
import numpy as np
import matplotlib.pyplot as plt
#Max=int(input("Maximum="))
Max=15
s=0
Sol_x=[]
Sol_y=[]
array_x=np.array([i for i in range(0,Max+1)])
array_f=np.array([fnc_f(i) for i in range(0,Max+1)])
array_g=np.array([fnc_g(i) for i in range(0,Max+1)])
for i in range(0,len(array_f)):
if array_f[i]<=array_g[i]:
s=s+1
Sol_x.append(i)
Sol_y.append(-array_f[i]+array_g[i] )
print ("nb sol=",s)
for i in range(len(Sol_x)):
print ("(",i,",",Sol_x[i],",",Sol_y[i],")")
#print (Sol_x,Sol_y)
#print (array_x)
#print (array_f)
#print (array_g)
plt.grid(True)
plt.plot(array_x, array_f)
plt.plot(array_x, array_g)
plt.plot(Sol_x, Sol_y,"o")
# : *, +, o.
plt.show()
plt.close()
