Question

3|2x-1|=12 Решите уравнение

Answer 1

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

This looks like a simple absolute value equation. Let's solve it!

$|2x - 1| = 12$

First, we'll set up two cases, one where the expression inside the absolute value is positive and one where it's negative.

Case 1: $2x - 1 = 12$

Case 2: $2x - 1 = -12$

Now, solve each case.

Case 1: $2x - 1 = 12$ $2x = 13$ $x = \frac{13}{2}$

Case 2: $2x - 1 = -12$ $2x = -11$ $x = -\frac{11}{2}$

So, the solution to the equation $|2x - 1| = 12$ is $x = \frac{13}{2}$ or $x = -\frac{11}{2}$.