Question

[[x] - 1]=8 решите уравнение

Answer 1

Уравнение распадается на abs(x)-1=-8 и abs(x)-1=8. Первое не имеет решений, поскольку модульная функция при любом x не выдаст (-7) (abs(x)-1=-8 => abs(x)=-7). Второе имеет 2 корня: abs(x)-1=8 => abs(x)=9 => x=-9 и 9.

Ответ: -9 и 9.

Answer 2

X-1=8                                                                                                                                    x-9=0                                                                                                                                    x=9:0                                                                                                                                    x=9

Answer 3

To solve the equation [[x] - 1] = 8, we need to find the value of x that satisfies the equation.

Let's break it down step by step:

1. First, let's deal with the innermost bracket [x]:

The expression [[x] - 1] means that we need to take the integer part of x (greatest integer less than or equal to x). For example, if x = 4.8, then [x] = 4.

2. Now, the equation becomes: [4] - 1 = 8

Since [4] = 4, the equation simplifies to:

4 - 1 = 8

3. Now, solve for x:

3 = 8

This is not possible, as 3 is not equal to 8. Therefore, the equation has no solution.

So, the equation [[x] - 1] = 8 has no solution for x.