Question

Розв‘язати рівняння : ||х|+2|=6

Answer 1

Ответ:

1. |x| - 2 = 6. 2. |x| - 2 = -6

x = 8 x = -4

Нет решений

x = ± 8 (Ответ)

Answer 2

I can help you solve the equation: |x + 2| = 6.

To solve this equation, we need to consider two cases: x + 2 ≥ 0 and x + 2 < 0.

If x + 2 ≥ 0, then |x + 2| = x + 2. So we have:

x + 2 = 6 x = 6 - 2 x = 4

If x + 2 < 0, then |x + 2| = -(x + 2). So we have:

-(x + 2) = 6 -x - 2 = 6 -x = 6 + 2 -x = 8 x = -8

Therefore, the equation has two solutions: x = 4 or x = -8.

You can check your answer by plugging in the values of x into the original equation and verifying that both sides are equal.

For more information on how to solve equations with absolute values, you can visit [this website](https://ua.onlinemschool.com/math/assistance/equation/quadratic/) or [this website](https://mathdf.com/equ/uk/).