Question

(x² - 2x - 2)²+ (x - 1)⁴=5 решите пожалуйста,без использования второй формулы с (х-а)⁴, срочно!!!!​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Solving the Equation without Using the Second Formula

To solve the equation (x² - 2x - 2)² * (x - 1)⁴ = 5 without using the second formula for (x - a)⁴, we can follow these steps:

1. Expand the expressions. 2. Simplify the equation. 3. Solve for x.

Step 1: Expand the Expressions

First, let's expand the expressions in the equation:

(x² - 2x - 2)² = (x² - 2x - 2)(x² - 2x - 2)

Expanding this expression gives:

x⁴ - 4x³ + 4x² - 4x³ + 16x² - 16x - 4x² + 16x + 16 = x⁴ - 8x³ + 20x² - 32x + 16

Next, we expand the second expression:

(x - 1)⁴ = (x - 1)(x - 1)(x - 1)(x - 1)

Expanding this expression gives:

x⁴ - 4x³ + 6x² - 4x + 1

Step 2: Simplify the Equation

Now, we substitute the expanded expressions back into the original equation:

(x⁴ - 8x³ + 20x² - 32x + 16)(x⁴ - 4x³ + 6x² - 4x + 1) = 5

Expanding and simplifying the equation gives a polynomial equation in x of degree 8.

Step 3: Solve for x

To solve this polynomial equation, we can use numerical or graphical methods to find the approximate solutions for x.

Given the complexity of the resulting polynomial equation, it may be best to use numerical methods such as the Newton-Raphson method or graphical methods to approximate the solutions for x.

I hope this helps! Let me know if you have further questions or need additional assistance.