Решение уравнения x*cos(x)-(1-x)**(0.5) = 0 via Scipy

(.env) boris@UbuntuLTS:~/CURVE$ cat solveSci3.py

import numpy as np

import matplotlib.pyplot as plt

from scipy.optimize import fsolve

func = lambda x : (x*np.cos(x)-(1-x)**(0.5)) 

# Plot it

x = np.linspace(-5,1,100 )

plt.plot(x, func(x))

plt.xlabel("x")

plt.ylabel("expression value")

plt.grid()

plt.draw()

# Use the numerical solver to find the roots

x_solution = fsolve(func, x_initial_guess)

print("The solution is x = %f" % x_solution)

print("at which the value of the expression is %f" % func(x_solution))

x_solution = fsolve(func, x_initial_guess)

print("The solution is x = %f" % x_solution)

print("at which the value of the expression is %f" % func(x_solution))

x_solution = fsolve(func, x_initial_guess)

print("The solution is x = %f" % x_solution)

print("at which the value of the expression is %f" % func(x_solution))

plt.show()

(.env) boris@UbuntuLTS:~/CURVE$ python3 solveSci3.py

at which the value of the expression is -0.000000

at which the value of the expression is -0.000000

at which the value of the expression is 0.000000

Смотри окончательную версию кода  https://informatics-ege.blogspot.com/2022/10/solving-one-transcendental-equation-via.html

Как чистая математика решает трансцендентные уравнения без библиотек типа Scipy (Python for instance) ?  От курса Вычислительной математики университета лично у меня остались смутные и нудные воспоминания.