Question

0,5|2х-5|-9=-7,5 плизз​

Answer 1

0,5|2х-5|-9=-7,5
1х-2,5-9=-7,5
1х=-7,5+2,5+9
1х=4
Х=4:1
Х=4
Ответ :4////////////////////

Answer 2

To solve the equation, let's isolate the absolute value term and then solve for the variable (x). Here's the step-by-step process:

1. Add 9 to both sides of the equation to move the constant term to the right side: 0.5|2x - 5| = -7.5 + 9

2. Simplify the right side: 0.5|2x - 5| = 1.5

3. Now, we need to eliminate the coefficient of the absolute value term (0.5) by dividing both sides by 0.5: |2x - 5| = 1.5 / 0.5

4. Simplify the right side: |2x - 5| = 3

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

Case 1: 2x - 5 is positive: In this case, the absolute value can be removed, so we have: 2x - 5 = 3

Now, solve for x: 2x = 3 + 5 2x = 8 x = 8 / 2 x = 4

Case 2: 2x - 5 is negative: In this case, the absolute value becomes the negative of the expression inside, so we have: -(2x - 5) = 3

Now, solve for x: -2x + 5 = 3

Subtract 5 from both sides: -2x = 3 - 5 -2x = -2

Divide by -2 to solve for x: x = -2 / -2 x = 1

So, the equation has two solutions: x = 4 and x = 1. You can plug these values back into the original equation to verify the solutions.