Question

|2x-4|=2 пожалуйста!!!!❗❗❗❗❗​

Answer 1

Ответ:

х=3 и х=1

Пошаговое объяснение:

|2x-4|=2

без модули могут быть две решений, отрицательные и не отрицательные:

1) 2х-4=2

2х=2+4

2х=6

х=6÷2

х=3

2) 2х-4=-2

2х=-2+4

2х=2

х=2÷2

х=1

Answer 2

Ответ:

Пошаговое объяснение:

|2х - 4| = 2

1)

2х - 4 = 2

2х = 2 + 4

2х = 6

х = 6 : 2

х = 3

х1 = 3

2)

2х - 4 = -2

2х = -2 + 4

2х = 2

х = 2 : 2

х = 1

х2 = 1

Ответ: 3; 1

Answer 3

To solve the equation |2x-4|=2, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative. Let's solve each case separately:

Case 1: (2x-4) is positive: When (2x-4) is positive, the absolute value of (2x-4) is equal to (2x-4) itself. Therefore, we can rewrite the equation as: 2x-4 = 2

To solve for x, we can add 4 to both sides of the equation: 2x = 2 + 4 2x = 6

Finally, divide both sides of the equation by 2 to isolate x: x = 6/2 x = 3

So, in this case, the solution is x = 3.

Case 2: (2x-4) is negative: When (2x-4) is negative, the absolute value of (2x-4) is equal to -(2x-4). Therefore, we can rewrite the equation as: -(2x-4) = 2

To solve for x, we need to distribute the negative sign to both terms inside the parentheses: -2x + 4 = 2

Next, subtract 4 from both sides of the equation: -2x = 2 - 4 -2x = -2

Finally, divide both sides of the equation by -2 to isolate x: x = -2/(-2) x = 1

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

Therefore, the equation |2x-4|=2 has two solutions: x = 3 and x = 1.

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