Question

1) 12|х|=1,2 2) 225:|х|=1,5 3) -4,84:|х|=-4,4​

Answer 1

1) |х|=0,1
х=0,1
х= - 0,1
х₁=-0,1 , х₂=0,1

2) 225:|х|=1,5 , х≠0
225/|х|=1,5 (если что мы это записываем как дробь 225 числитель, |х| знаменатель)
225=1,5*|х|
1,5*|х|=225
|х|=150
х=150 х≠0
х= -150
х₁= -150 , х₂= 150

3) -4,84:|х| = -4,4 , х≠0
-121/25*1/|х| = -4,4
-121/25*|х|= -4,4
121=110*|х|
110*|х|=121
|х|=11/10
х=11/10 х≠0
х= -11/10
х₁= -1,1 х₂= 1,1

думаю я вам помогла :)

Answer 2

To solve these equations, let's consider each one separately:

1. 12|х| = 1.2

To solve for x, we need to isolate the absolute value term. Divide both sides of the equation by 12:

|х| = 1.2/12

Simplify the right side:

|х| = 0.1

Now, we have two possibilities for x:

1. х = 0.1

2. х = -0.1

3. 225 : |х| = 1.5

To solve for x, divide both sides of the equation by 1.5:

225 / |х| = 1.5

Simplify the left side:

150 / |х| = 1.5

To further simplify, multiply both sides by |x|:

150 = 1.5|x|

Now, divide both sides by 1.5:

100 = |x|

Again, we have two possibilities for x:

1. x = 100

2. x = -100

3. -4.84 : |х| = -4.4

To solve for x, divide both sides of the equation by -4.4:

-4.84 / |x| = -4.4

Simplify the left side:

1.1 / |x| = 1

To further simplify, multiply both sides by |x|:

1.1 = |x|

Again, we have two possibilities for x:

1. x = 1.1
2. x = -1.1

In summary, the solutions to the given equations are:

1. x = 0.1 or x = -0.1
2. x = 100 or x = -100
3. x = 1.1 or x = -1.1