Решите уравнения :1) I х+1 I =22) I х-2I =53) I

Найдем корешки уравнений с модулем.

1) Iх + 1I = 2;

x + 1 = 2;

x + 1 = -2;

x = 2 - 1;

x = -2 - 1;

x = 1;

x = -3.

2) Iх - 2I = 5; 

x - 2 = 5;

x - 2 = -5;

x = 5 + 2;

x = -5 + 2;

x = 7;

x = -3.

3) I2 * х + 3I = 1;

2 * x + 3 = 1;

2 * x + 3 = -1;

2 * x = 1 - 3;

2 * x = -1 - 3;

2 * x = -2;

2 * x = -4;

x = -2/2;

x  = -4/2;

x = -1;

x = -2.

4) I3 * х - 5I = 2; 

3 * x - 5 = 2; 

3 * x - 5 = -2; 

3 * x = 2 + 5; 

3  * x = -2 + 5; 

3 * x = 7; 

3 * x = 3; 

x = 7/3; 

x = 3/3; 

x = 7/3; 

x = 1.