Question

Решите уравнение |2х+4|=8распишите​

Answer 1

Ответ:

убираем модуль:

2х+4=8

2х=8-4

2х=4

х=2

Пошаговое объяснение:

Answer 2

Ответ:

х₁=2; х₂=-6

Пошаговое объяснение:

|2х+4|=8

2х+4=8  или  2х+4=-8

2х= 8-4   или  2х= -8-4

2х= 4      или  2х= -12

х=2         или   х= -6

"или" можно заменить на квадратные скобки

Проверка

1) х=2

|2х+4|=8

|2*2+4|=8

|4+4|=8

8=8

2) х=-6

|2*(-6)+4|=8

|-12+4|=8

|-8|=8

8=8

Answer 3

Solving the Equation |2x + 4| = 8

To solve the equation |2x + 4| = 8, we can split it into two separate equations and solve for x in each case. The absolute value equation |a| = b has two cases: a = b and a = -b. Let's solve for x in both cases.

1. Case 1: 2x + 4 = 8 - Subtract 4 from both sides: 2x = 4 - Divide by 2: x = 2

2. Case 2: 2x + 4 = -8 - Subtract 4 from both sides: 2x = -12 - Divide by 2: x = -6

Therefore, the solutions to the equation |2x + 4| = 8 are x = 2 and x = -6.

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