Question

ДАЮ 35 балов СРОЧНО Решите уровнение |2х +4| =8 ​

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

Ответ:

|2x+4|=8

используя определение модуля, представьте уравнение с модулем в виде двух отдельных уравнений

1)2х+4=8

2х=8-4

2х=4

х=2

2)2х+4=-8

2х=-8-4

2х=-12

х=-6

ответ: х=2 и х=-6

Answer 3

Solving the Equation |2x + 4| = 8

To solve the equation |2x + 4| = 8, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: 2x + 4 is positive In this case, we can remove the absolute value signs and solve the equation as follows:

2x + 4 = 8

Subtracting 4 from both sides:

2x = 4

Dividing both sides by 2:

x = 2

Case 2: 2x + 4 is negative In this case, we need to negate the expression inside the absolute value signs and solve the equation:

-(2x + 4) = 8

Expanding the negation:

-2x - 4 = 8

Adding 4 to both sides:

-2x = 12

Dividing both sides by -2:

x = -6

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