Question

4. Mulțimea solutiilor ecuatiei 5[2(3|2x - 5| - 11) - 13] - 27 = 8 este S={...}​

Answer 1

5[2(3|2x-5|-11)-13]= 8+27

5[2(3|2x-5|-11)-13]= 35

[2(3|2x-5|-11)-13]= 35:5

2(3|2x-5|-11)-13=7

2(3|2x-5|-11)=7+13

2(3|2x-5|-11)=20

3|2x-5|-11=20:2

3|2x-5|-11=10

3|2x-5|=10+11

3|2x-5|=21

|2x-5|=21: 3

|2x-5| =7

2x-5=7 => 2x= 7+5=> 2x= 12 => x=6  sau

2x-5= -7 => 2x= -7+5 => 2x= -2 => x= -1

S={-1,6}