Question

||x|-2|=2 РЕШИТЕ ПОЖАЛУЙСТА

Answer 1

Решение на рисунке, надеюсь разборчиво.

Answer 2

Solving the Equation |x|-2=2

To solve the equation |x|-2=2, we need to isolate the absolute value expression and solve for x. Here's how we can do it step by step:

Step 1: Add 2 to both sides of the equation to eliminate the -2 on the left side: |x|-2+2=2+2 |x|=4

Step 2: Split the equation into two cases, one for when x is positive and one for when x is negative: Case 1: x is positive If x is positive, then |x| is equal to x. So we have: x=4

Case 2: x is negative If x is negative, then |x| is equal to -x. So we have: -x=4

Step 3: Solve each case separately: Case 1: x is positive x=4

Case 2: x is negative Multiply both sides of the equation by -1 to isolate x: -x=4 x=-4

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