Question

3|2x-1|=12пожалуйстоооооо​

Answer 1

Ответ:

2,5; -1,5

Пошаговое объяснение:

3|2x-1|=12

|2x-1|=12:3

|2x-1|=4

2x-1=4   и 2х-1=-4

2х=4+1     2х=-4+1

2х=5         2х=-3

х=5:2        х=-3:2

х₁=2,5        х₂=-1,5

Answer 2

To solve the absolute value equation |2x - 1| = 12, 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 - 1) is positive: If 2x - 1 is positive, we can remove the absolute value bars and rewrite the equation as: 2x - 1 = 12

Now, we can solve for x: 2x = 12 + 1 2x = 13 x = 13/2 x = 6.5

Case 2: (2x - 1) is negative: If 2x - 1 is negative, we need to change the sign inside the absolute value bars. So the equation becomes: -(2x - 1) = 12

Now, we can solve for x: -2x + 1 = 12 -2x = 12 - 1 -2x = 11 x = 11/-2 x = -5.5

Therefore, the solutions to the equation |2x - 1| = 12 are x = 6.5 and x = -5.5.