Question

||x|-6|=4 решите уравнение​

Answer 1

((x)-6)=4

x-6=4

x=4+6

x=10

Answer 2

|x|-6=4 или |х|-6=-4

|х|=10 или -10 |х|=-2 или 2

Ответ: -10,-2,2,10

Answer 3

To solve the equation ||x| - 6| = 4, we'll consider the two possible cases separately based on the inner absolute value expression being positive or negative.

Case 1: |x| - 6 = 4 In this case, the expression inside the outer absolute value is positive.

Add 6 to both sides: |x| = 4 + 6 |x| = 10

Now, consider two possibilities for x:

1. x = 10
2. x = -10

Case 2: |x| - 6 = -4 In this case, the expression inside the outer absolute value is negative.

Add 6 to both sides: |x| = -4 + 6 |x| = 2

Since the absolute value of any number is always non-negative, there are no solutions for x in this case.

Final Solution: The solutions for the equation ||x| - 6| = 4 are x = 10 and x = -10.