Question

Решите уравнение:(2x+8)^2=0Подробно

Answer 1

(2x+8)^2=0

2х+8=0

2х=-8

х=-4

Answer 2

2х+8=0

2х=-8

х=-4                    .......

Answer 3

Solving the Equation (2x+8)^2=0

To solve the equation (2x+8)^2=0, we can follow these steps:

1. Expand the Equation: - The given equation can be expanded as follows: ``` (2x+8)^2 = 0 (2x+8)(2x+8) = 0 4x^2 + 16x + 16x + 64 = 0 4x^2 + 32x + 64 = 0 ```

2. Solve for x: - Now, we can solve the quadratic equation 4x^2 + 32x + 64 = 0. To find the solutions, we can use the quadratic formula: ``` x = (-b ± √(b^2 - 4ac)) / (2a) ```

3. Calculate Discriminant (b^2 - 4ac): - First, we need to calculate the discriminant, which is given by b^2 - 4ac.

4. Find the Solutions: - Once we have the discriminant, we can use it to find the solutions for x using the quadratic formula.

Solutions

The solutions for the equation (2x+8)^2=0 are: - x = -4

This is the only solution for the given equation.

By following these steps, we have found the solution to the given equation (2x+8)^2=0.