Question

|4x+7|-11=28 Помогите этот тендеу

Answer 1

. Ответ:
2,5
Пошаговое объяснение:
[4х+7]-11=28
4х+7=28-11=17
4х=17-7=10
х=10:4=2,5

Answer 2

Solving the Equation |4x+7|-11=28

To solve the equation |4x+7|-11=28, we can follow these steps:

1. Isolate the Absolute Value Expression: - First, isolate the absolute value expression |4x+7| by adding 11 to both sides of the equation.

2. Split the Equation: - Once the absolute value expression is isolated, we can split the equation into two separate equations, one for when the expression inside the absolute value is positive and one for when it's negative.

3. Solve for x: - Solve each equation separately to find the possible values of x.

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

Isolating the Absolute Value Expression

Adding 11 to both sides of the equation, we get:

|4x+7| = 28 + 11 |4x+7| = 39

Splitting the Equation

We split the equation into two separate equations:

1. When 4x+7 is positive: 4x+7 = 39

2. When 4x+7 is negative: -(4x+7) = 39

Solving for x

1. When 4x+7 is positive: 4x+7 = 39 4x = 39 - 7 4x = 32 x = 32/4 x = 8

2. When 4x+7 is negative: -(4x+7) = 39 -4x - 7 = 39 -4x = 39 + 7 -4x = 46 x = 46/(-4) x = -11.5

So, the solutions to the equation |4x+7|-11=28 are x = 8 and x = -11.5.