Question

|x|+ 2,8=5; |x|-6=-9 |x|-3,1=4,4; |x+2,5|=1; Просто надо решить

Answer 1

Відповідь:

Покрокове пояснення:

|x|=5-2,8

|x|=2,2

x=±2,2

|x|=-9+6

x нет корней

|x|=4,4+3,1

|x|=7.5

x=±7,5

|x+2,5|=1

x+2,5=1

x=-1,5

x+2,5=-1

x=-3,5

Answer 2

Solving the Equations

To solve the given equations, let's break it down step by step.

1. |x| + 2.8 = 5 To solve for x, we can start by isolating |x| on one side of the equation. |x| = 5 - 2.8 |x| = 2.2

This gives us two possible solutions for x: x = 2.2 or x = -2.2

2. |x| - 6 = -9

Similarly, we can isolate |x| on one side of the equation. |x| = -9 + 6 |x| = -3

This gives us two possible solutions for x: x = -3 or x = 3

3. |x| - 3.1 = 4.4

Again, isolate |x| on one side of the equation. |x| = 4.4 + 3.1 |x| = 7.5

This gives us two possible solutions for x: x = 7.5 or x = -7.5

4. |x + 2.5| = 1

For this equation, we need to consider two cases: x + 2.5 = 1 and -(x + 2.5) = 1.

Case 1: x + 2.5 = 1 x = 1 - 2.5 x = -1.5

Case 2: -(x + 2.5) = 1 -x - 2.5 = 1 -x = 1 + 2.5 -x = 3.5 x = -3.5

So, the solutions for this equation are: x = -1.5 or x = -3.5

Conclusion

The solutions for the given equations are as follows: - For |x| + 2.8 = 5, x = 2.2 or x = -2.2 - For |x| - 6 = -9, x = -3 or x = 3 - For |x| - 3.1 = 4.4, x = 7.5 or x = -7.5 - For |x + 2.5| = 1, x = -1.5 or x = -3.5