Question

|x|•7=56 помогите срочно​

Answer 1

Ответ:

x = ±8

Пошаговое объяснение:

|x| * 7 = 56|:7

|x| = 8

По определению модуля:

x = ±8

Answer 2

Решение и ответ:

|x| · 7 = 56

|x| = 56 ÷ 7

|x| = 8

x₁ = 8

x₂ = -8

Ответ: x₁ = 8, x₂ = -8.

Answer 3

Solving the Equation |x|•7=56

To solve the equation |x|•7=56, we can follow these steps:

1. Isolate the Absolute Value Expression: - First, isolate the absolute value expression by dividing both sides of the equation by 7.

2. Set Up Two Equations: - Since |x| can be either positive or negative, we need to set up two equations to account for both possibilities.

3. Solve for x: - Once we have the two equations, we can solve for x in each case.

Let's proceed with these steps to solve the given equation.

Step 1: Isolate the Absolute Value Expression

Divide both sides of the equation by 7: ``` |x| = 56 / 7 ``` This simplifies to: ``` |x| = 8 ```

Step 2: Set Up Two Equations

We set up two equations to account for both the positive and negative cases of |x|: ``` 1) x = 8 2) x = -8 ```

Step 3: Solve for x

Solving for x in both cases: 1) When x = 8 - The solution is x = 8.

2) When x = -8 - The solution is x = -8.

Therefore, the solutions to the equation |x|•7=56 are x = 8 and x = -8.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.