Ответ:

решение на фото

Пошаговое объяснение:

решение на фото

Ответ:

Continuing with the equations you provided:

1) 57 / (2|x| + 17 2/3) = 1

To solve this equation, we need to isolate |x|. First, let's convert the mixed number into an improper fraction:

17 2/3 = (3 * 17 + 2) / 3 = 53 / 3

Now, the equation becomes:

57 / (2|x| + 53/3) = 1

57 = 2|x| + 53/3

57 - 53/3 = 2|x|

(171 - 53) / 3 = 2|x|

118 / 3 = 2|x|

59 = |x|

x = 59 or x = -59

Therefore, x can be 59 or -59.

2) 4.8 / (8 5/6 + (- |x|) / 2) = 2.4

Similarly, we convert the mixed number to an improper fraction:

8 5/6 = (6 * 8 + 5) / 6 = 53 / 6

Now, the equation becomes:

4.8 / (53/6 - |x| / 2) = 2.4

4.8 = 53/6 - |x| / 2

24/5 = 53/6 - |x| / 2

24/5 = 53/6 - |x| / 2

24/5 - 53/6 = - |x| / 2

(288/60 - 265 / 60) = - |x| / 2

(23 / 60) = - |x| / 2

23/30 = - |x|

x = -23/30 or x = 23/30

Therefore, x can be -23/30 or 23/30.

3) (5.5 + (-|x|) / (2/3)) / (2 2/9) = 1.8

To solve this equation, simplifying first by converting the mixed number to an improper fraction:

2 2/9 = (9 * 2 + 2) / 9 = 20/9

Now, the equation becomes:

(5.5 + (-|x|) / (2/3)) / (20/9) = 1.8

5.5 + (-|x|) / (2/3) = 1.8 * 20/9

5.5 + (-|x|) / (2/3) = 4

(-|x|) / (2/3) = 4 - 5.5

(-|x|) / (2/3) = -1.5

-|x| = -1.5 * 2/3

-|x| = -1

|x| = 1

x = 1 or x = -1

Therefore, x can be 1 or -1.

4) 2.7 / (3|x| + 2/3) = 0.54

To solve this equation, we need to isolate |x|:

2.7 / (3|x| + 2/3) = 0.54

2.7 = 0.54 * (3|x| + 2/3)

2.7 = 1.62 * |x| + 2 * 0.54

2.7 = 1.62 * |x| + 1.08

1.62 * |x| = 1.62

|x| = 1

x = 1 or x = -1

Therefore, x can be 1 or -1.