Question

Как решить этл x+|x|=0

Answer 1

Раскроем модуль по двум позициям:
1) х>=0
получим 2х=0; х=0
2) х<0
х-х=0; 0=0 любой х<0

Ответ: х=(-бесконечность;0]

Answer 2

Problem Statement

You want to solve the equation x + |x| = 0.

Solution

To solve the equation x + |x| = 0, we can consider two cases: when x is positive and when x is negative.

Case 1: x is positive If x is positive, then |x| is equal to x. Therefore, the equation becomes x + x = 0, which simplifies to 2x = 0. Solving for x, we get x = 0.

Case 2: x is negative If x is negative, then |x| is equal to -x. Therefore, the equation becomes x + (-x) = 0, which simplifies to 0 = 0. This equation is always true for any value of x.

Conclusion

The equation x + |x| = 0 has two solutions: x = 0 and any negative value of x.