Question

1) |х| +2|х|=-3|х|+6. 2)12|х|-9=7|х|+6. 3)6|х+2|-2|х+2|=4. 4)2+|х-5|=10. помогите пожалуйста​

Answer 1

Ответ:

1)1;-1;

2)3;-3;

3)-1;-3;

4)13;-3.

Пошаговое объяснение:

Answer 2

Sure, I can help you with that! Let's solve each equation step by step.

1. |x| + 2|x| = -3|x| + 6

Combine like terms:

3|x| = -3|x| + 6

Add 3|x| to both sides:

6|x| = 6

Divide both sides by 6:

|x| = 1

This means that x can be 1 or -1.

2. 12|x| - 9 = 7|x| + 6

Combine like terms:

5|x| = 15

Divide both sides by 5:

|x| = 3

This means that x can be 3 or -3.

3. 6|x + 2| - 2|x + 2| = 4

Combine like terms:

4|x + 2| = 4

Divide both sides by 4:

|x + 2| = 1

This means that x + 2 can be 1 or -1. Solve for x:

For x + 2 = 1, x = -1 For x + 2 = -1, x = -3

So, x can be -1 or -3.

4. 2 + |x - 5| = 10

Subtract 2 from both sides:

|x - 5| = 8

This means that x - 5 can be 8 or -8. Solve for x:

For x - 5 = 8, x = 13 For x - 5 = -8, x = -3

So, x can be 13 or -3.

I hope this helps! Let me know if you have any questions.