Question

||2x+3|-2|=5 решите пж

Answer 1

Рассматриваем два случая:

1. 2x + 3 >= 0

x >= -1.5
|2x + 3 - 2| = 5

x >= -1.5
|2x +1| = 5

x >= -1.5
2x + 1 = 5
2x + 1 = -5

x >= -1.5
x = 2
x = -3

x = 2
 

2. 2x + 3 < 0

x < -1.5
|-2x - 3 - 2| = 5

x < -1.5
|-2x - 5| = 5

x < -1.5
-2x - 5 = 5
-2x - 5 = -5

x < -1.5
x = -5
x = 0

x = -5

Ответ: x = -5, x = 2

Answer 2

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