Question

|8x-3,6|=5,2срочно хелп.​

Answer 1

Ответ:

-0,2 или 1,1

Пошаговое объяснение:

Здесь имеется два варианта

-8x + 3,6 = 5,2       и        8x + 3,6 = 5,2

-8x = 1,6                            8x = 8,8

x = 1,6 / (-8)                       x = 8,8 / 8

x = -0,2                              x = 1,1

Answer 2

To solve the equation |8x-3,6|=5,2, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative. Let's break it down step by step.

Case 1: 8x-3,6 is positive

In this case, we can remove the absolute value signs and solve the equation as follows:

8x - 3,6 = 5,2

To isolate the variable x, we can add 3,6 to both sides of the equation:

8x = 5,2 + 3,6

Simplifying the right side of the equation:

8x = 8,8

Now, divide both sides of the equation by 8 to solve for x:

x = 8,8 / 8

Simplifying further:

x = 1,1

So, in this case, the solution is x = 1,1.

Case 2: 8x-3,6 is negative

In this case, we need to change the sign of the expression inside the absolute value and solve the equation:

-(8x - 3,6) = 5,2

Distribute the negative sign:

-8x + 3,6 = 5,2

To isolate the variable x, we can subtract 3,6 from both sides of the equation:

-8x = 5,2 - 3,6

Simplifying the right side of the equation:

-8x = 1,6

Now, divide both sides of the equation by -8 to solve for x:

x = 1,6 / -8

Simplifying further:

x = -0,2

So, in this case, the solution is x = -0,2.

Therefore, the equation |8x-3,6|=5,2 has two solutions: x = 1,1 and x = -0,2.

I hope this helps! Let me know if you have any further questions.