Question

4|х|+5|х|-3=2|х|+11.

Answer 1

Х1=-2; х2=2, если тебе нужно прям изъяснение, то я в комментарии добавлю

Answer 2

To solve the equation |x| + 5|x| - 3 = 2|x| + 11, you can follow these steps:

1. Combine like terms on both sides of the equation: |x| + 5|x| - 3 - 2|x| - 11 = 0

2. Simplify the equation further: |x| + 3|x| - 14 = 0

3. Combine like terms again: 4|x| - 14 = 0

4. Add 14 to both sides of the equation to isolate the absolute value term: 4|x| = 14

5. Divide both sides of the equation by 4 to solve for |x|: |x| = 14 / 4

6. Now, we have two cases to consider since the absolute value of x can be either positive or negative: Case 1: x = 14 / 4 Case 2: x = -14 / 4

7. Simplify both cases: Case 1: x = 7/2 Case 2: x = -7/2

So, the solutions to the equation |x| + 5|x| - 3 = 2|x| + 11 are x = 7/2 and x = -7/2.