Question

Помогите решить уравнение

Answer 1

Решение задания прилагаю

Answer 2

Ответ:

Пошаговое объяснение:

|2(x - $\frac{1}{2}$)| = 3

|2x - 1| = 3

1. 2x - 1 ≥ 0

2x - 1 = 3

2x = 3 + 1

2x = 4

x = 4 : 2

x = 2

2. 2x - 1 < 0

2x - 1 = -3

2x = -3 + 1

2x = -2

x = -2 : 2

x = -1

Ответ: х = 2; х = -1.

|4x + 7| = 2

1. 4x + 7 ≥ 0

4x + 7 = 2

4x = 2 - 7

4x = -5

x = -5 : 4

x = -1,25.

2. 4x + 7 < 0

4x + 7 = -2

4x = -2 - 7

4x = -9

x = -9 : 4

x = -2,25.

Ответ: х = -1,25; ч = -2,25.

|$-2\frac{1}{7}$ $-3\frac{2}{5}$| = |$-2\frac{1 * 5}{7 * 5} -3\frac{2 * 7}{5 * 7}$| = |$-2\frac{5}{35} -3\frac{14}{35}$| = |$-5\frac{19}{35}$|

1. $-5\frac{19}{35}$ ≥ 0

|$-5\frac{19}{35}$| = $5\frac{19}{35}$

2. $-5\frac{19}{35}$ < 0

|$-5\frac{19}{35}$| = $-5\frac{19}{35}$

Ответ: ±$5\frac{19}{35}$.