Question

Вопрос №5 ? 2 балла Решите уравнение: x3-(x+1)-x2(x+7)=11-7x2. 12 -12 -10 10 Кто ответит правильно буду молится

Answer 1

Solving the Equation

To solve the equation x^3 - (x + 1) - x^2(x + 7) = 11 - 7x^2 + 12 - 12 - 10 + 10, we can follow these steps:

1. Simplify both sides of the equation by combining like terms: - On the left side, we have x^3 - (x + 1) - x^2(x + 7). - On the right side, we have 11 - 7x^2 + 12 - 12 - 10 + 10.

2. Simplify the left side of the equation: - Distribute -x^2 to (x + 7): x^3 - (x + 1) - x^3 - 7x^2. - Combine like terms: -x - 1 - 7x^2.

3. Simplify the right side of the equation: - Combine like terms: 11 - 7x^2 + 12 - 12 - 10 + 10.

4. Now, we have the simplified equation: -x - 1 - 7x^2 = 11 - 7x^2 + 12 - 12 - 10 + 10.

5. Simplify further by canceling out like terms: - The -7x^2 terms cancel out on both sides of the equation. - The -1 term cancels out with the 11 - 12 - 10 terms on the right side. - The equation becomes: -x = 0.

6. Solve for x: - Divide both sides of the equation by -1: x = 0.

Therefore, the solution to the equation x^3 - (x + 1) - x^2(x + 7) = 11 - 7x^2 + 12 - 12 - 10 + 10 is **x = 0.

Please note that this solution is based on the given equation and the steps followed to solve it. If there are any errors or if you need further clarification, please let me know!