Question

||х|-1|=3Сумма всех результатов уравнения?​

Answer 1

Ответ: 0

Пошаговое объяснение:

||x| - 1| = 3

Раскрываем внешний модуль, получаем два уравнения:

1. |x| - 1 = -3   ⇒   |x| = -2   -- корней нет (модуль не равен отрицательному числу)

2. |x| - 1 = 3   ⇒   |x| = 4   ⇒   x = -2 и x = 2

Сумма корней:

-2 + 2 = 0

Answer 2

To solve the equation ||х|-1|=3, we need to consider two cases based on the absolute value expression:

Case 1: х - 1 = 3 Adding 1 to both sides: х = 3 + 1 х = 4

Case 2: -(х - 1) = 3 Distributing the negative sign: -х + 1 = 3 Subtracting 1 from both sides: -х = 3 - 1 -х = 2

To get the value of х, we need to consider both cases. The two solutions for х are 4 and -2.

Now, we can find the sum of all the solutions: Sum = 4 + (-2) = 2

So, the sum of all the solutions to the equation ||х|-1|=3 is 2.