Question

Решение уравнений Самостоятельная работа Вариант.А Вариант.В1) |2-х|= 5 1)|3-х|+1=52)|3-2х|= 0 2)|3-х|+4=7Помогите пж Если знаете ​

Answer 1

Ответ:

Пошаговое объяснение:

1)

|2-х|= 5

2 - x = 5

x = 2 - 5

x = -3

------------

2 - x = -5

x = 2 + 5

x = 7

ответ:  x₁ = -3 ;       x₂ = 7

2)

|3-2х|= 0

3 - 2x = 0

2x = 3

x = 3 : 2

x = 1,5

ответ: 1,5

========================

1)

|3-х|+1=5

|3 - x| = 5 - 1

|3 - x| = 4

3 - x = 4

x = 3 - 4

x = -1

--------------

3 - x = -4

x = 3 + 4

x = 7

ответ:  x₁= -1 ;        x₂ = 7

2)

|3-х|+4=7

|3 - x| = 7-4

|3 - x | = 3

3 - x = 3

x = 3 - 3

x = 0

------------

3 - x = -3

x = 3+3

x = 6

ответ:  x₁ = 0 ;       x₂ = 6

Answer 2

Ответ:
Вариант А
1)|2-х|=5
2-х=5 2-х=-5
-х=3. -х=-7
х=-3. х=7
2)|3-2х|=0
3-2х=0
-2х=-3
х=1,5
Вариант В
1)|3-х|+1=5
|3-х|=4
3-х=4. 3-х=-4
-х=1 -х=-7
х=-1 х=7
2)|3-х|+4=7
|3-х|=3
3-х=3. 3-х=-3
-х=0. -х=-6
х=0. х=6

Answer 3

Solving the Equations

Let's solve the given equations step by step.

1) |2-х|= 5 2) |3-х|+1=5 3) |3-2х|= 0 4) |3-х|+4=7

Solution

1) For the equation |2-х|= 5: - To solve for x, we can split the equation into two cases: - Case 1: 2-x = 5 - Case 2: 2-x = -5 - Solving Case 1: 2-x = 5 - x = -3 - Solving Case 2: 2-x = -5 - x = 7 - Therefore, the solutions for |2-х|= 5 are x = -3 and x = 7.

2) For the equation |3-х|+1=5: - To solve for x, we can split the equation into two cases: - Case 1: 3-x+1 = 5 - Case 2: -(3-x)+1 = 5 - Solving Case 1: 3-x+1 = 5 - x = -1 - Solving Case 2: -(3-x)+1 = 5 - x = 7 - Therefore, the solutions for |3-х|+1=5 are x = -1 and x = 7.

3) For the equation |3-2х|= 0: - To solve for x, we can split the equation into two cases: - Case 1: 3-2x = 0 - Case 2: -(3-2x) = 0 - Solving Case 1: 3-2x = 0 - x = 1.5 - Solving Case 2: -(3-2x) = 0 - x = 1.5 - Therefore, the solution for |3-2х|= 0 is x = 1.5.

4) For the equation |3-х|+4=7: - To solve for x, we can split the equation into two cases: - Case 1: 3-x+4 = 7 - Case 2: -(3-x)+4 = 7 - Solving Case 1: 3-x+4 = 7 - x = 0 - Solving Case 2: -(3-x)+4 = 7 - x = 10 - Therefore, the solutions for |3-х|+4=7 are x = 0 and x = 10.

I hope this helps! If you have any more questions or need further assistance, feel free to ask.