Question

Задание 2 Решите уравнение: ||x| - 2| = 2пж без обмана​

Answer 1

Ответ:

x=-4,0,4

Пошаговое объяснение:

|x|-2=2 или |x|-2=-2

|x|=4 или |x|=0

x1=4 или x=0

x2=-4  

Answer 2

Solving the Absolute Value Equation

To solve the equation ||x| - 2| = 2, we'll need to consider two cases: when the expression inside the absolute value is positive and when it's negative.

1. When |x| - 2 is positive: - In this case, the equation simplifies to |x| - 2 = 2. - Adding 2 to both sides gives us |x| = 4. - This means that x could be either 4 or -4.

2. When |x| - 2 is negative: - Here, the equation becomes -(|x| - 2) = 2. - Multiplying both sides by -1 gives us |x| - 2 = -2. - Adding 2 to both sides yields |x| = 0. - This means that x must be 0.

So, the solutions to the equation ||x| - 2| = 2 are x = 4, x = -4, and x = 0.

Therefore, the solutions to the equation ||x| - 2| = 2 are x = 4, x = -4, and x = 0.