Question

0.9|2x-6|-8=-5.4решите уравнение​

Answer 1

Ответ:

0.9|2х-6|=-5.4+8

0.9|2х-6|=2.6

|2х-6|=26/9

2х-6=2.8

2х=2.8+6

2х=8.8

х=8.8/2

х=4.4

Answer 2

To solve the equation, we need to isolate the variable, x. Let's break it down step-by-step:

1. Start by moving the constant term to the other side of the equation: 0.9|2x - 6| = -5.4 + 8

2. Simplify the constant terms: 0.9|2x - 6| = 2.6

3. Divide both sides by 0.9 to isolate the absolute value expression: |2x - 6| = 2.6 / 0.9

4. Now, we have two cases to consider for the absolute value:

   Case 1: 2x - 6 is positive: If 2x - 6 is positive, the absolute value becomes 2x - 6. So, we get: 2x - 6 = 2.6 / 0.9

   Case 2: 2x - 6 is negative: If 2x - 6 is negative, the absolute value becomes -(2x - 6). So, we get: -(2x - 6) = 2.6 / 0.9

5. Now, solve for x in each case:

   Case 1: 2x - 6 = 2.6 / 0.9 2x - 6 = 2.888...

   Add 6 to both sides: 2x = 2.888... + 6 2x = 8.888...

   Divide by 2: x = 8.888... / 2 x = 4.444...

   Case 2: -(2x - 6) = 2.6 / 0.9 -2x + 6 = 2.888...

   Subtract 6 from both sides: -2x = 2.888... - 6 -2x = -3.111...

   Divide by -2: x = -(-3.111...) / 2 x = 1.555...

So, the two solutions for the equation are approximately: x ≈ 4.444... and x ≈ 1.555...