Question

Решите уравнение |x+4|=5

Answer 1

Х+4=5 или х+4=-5
х=1 или х= -9
Ответ: 1;-9

Answer 2

To solve the equation |x + 4| = 5, we need to consider two cases since the absolute value function can have two possible forms:

Case 1: (x + 4) = 5 Case 2: -(x + 4) = 5

Let's solve each case:

Case 1: (x + 4) = 5

To solve this, we isolate x:

x + 4 = 5

Subtract 4 from both sides:

x = 5 - 4

x = 1

Case 2: -(x + 4) = 5

To solve this, we isolate x:

-x - 4 = 5

Add 4 to both sides:

-x = 5 + 4

-x = 9

To get x alone, multiply both sides by -1 (this step also changes the sign of the equation):

x = -9

So, we have two solutions:

x = 1 x = -9