Question

|х+3|-5 |=2 пожалуйста помогите срочно очень нужно

Answer 1

||x + 3| - 5| = 2

Раскрываем внешний модуль.

1) Со знаком "+":
 |x + 3| - 5 = 2
|x + 3| = 7
Теперь раскрываем внутренний модуль:
x + 3 = 7    и    x + 3 = -7
x = 4         и      x = -10

2) Со знаком "-":
|x + 3| - 5 = -2 
|x + 3| = 3
Раскрываем внутренний модуль:
x + 3 = 3    и    x + 3 = -3
x = 0         и      x = -6

Ответ: x = -10; -6; 0; 4.

Answer 2

Solving the Equation |x + 3| - 5| = 2

To solve the equation |x + 3| - 5| = 2, we'll break it down into two separate equations and solve for the possible values of x.

1. When (x + 3) is positive or zero: - In this case, the absolute value function |x + 3| is equal to (x + 3). - So, the equation becomes: (x + 3) - 5 = 2. - Solving for x, we get: x = 4.

2. When (x + 3) is negative: - In this case, the absolute value function |x + 3| is equal to -(x + 3). - So, the equation becomes: -(x + 3) - 5 = 2. - Solving for x, we get: x = -10.

Therefore, the solutions to the equation |x + 3| - 5| = 2 are x = 4 and x = -10.