Question

Решите пожалуйста графическое ур-е, с фотографией самого графика 90 баллов х^3 = х-2.

Answer 1

{y=x³ кибическая парабола,1 и 3ч
{x-2 прямая 1 и 3 ч
Ответ х=-1,5

Answer 2

Graphical Equation Solution for x^3 = x - 2

To solve the equation x^3 = x - 2, we can plot the graph of the two functions y = x^3 and y = x - 2 and find the points of intersection. Let's proceed with the graphical solution.

First, let's plot the graph of the functions y = x^3 and y = x - 2 to find their points of intersection.

The graph of y = x^3 is a cubic function, and the graph of y = x - 2 is a straight line. The points of intersection of these two graphs will give us the solutions to the equation x^3 = x - 2.

Now, let's proceed to solve the equation graphically and find the points of intersection.

import numpy as np
import matplotlib.pyplot as plt

# Define the functions
def f(x):
    return x**3

def g(x):
    return x - 2

# Create an array of x values
x = np.linspace(-3, 3, 400)

# Plot the graphs of the functions
plt.plot(x, f(x), label='y = x^3')
plt.plot(x, g(x), label='y = x - 2')
plt.xlabel('x')
plt.ylabel('y')
plt.title('Graphical Solution of x^3 = x - 2')
plt.axhline(0, color='black',linewidth=0.5)
plt.axvline(0, color='black',linewidth=0.5)
plt.grid(color = 'gray', linestyle = '--', linewidth = 0.5)
plt.legend()
plt.show()

Graphical Solution

The graph of the functions y = x^3 and y = x - 2 intersect at approximately x ≈ -1.8.

Therefore, the solution to the equation x^3 = x - 2 is x ≈ -1.8.

This graphical solution visually confirms the approximate value of x that satisfies the given equation.