Question

Exercitiul nr 8 Rezovati in z ecuatiile​

Answer 1

Răspuns:

Explicație pas cu pas:

||x-10|-9|=8

x-10>0, x>10

daca x-10>9, x>9+10,x>19

I . x-10-9=8

x-10=8+9

x-10=17

x=17+10

x=27

daca  x-10<0, x<10

10-x-9=8

10-x>9, x<10-9, x<1

1-x=8

x=1-8

x = -7

9-(10-x)=8

9-10+x=8

-1+x=8

x=9

2. ||2x-1|-4|=7

|2x-1|>4

I.  2x-1<-4, 2x<1-4, 2x<-3       sau 2x-1>4, 2x>4+1, 2x>5

2x-1-4=7            

2x-5=7              

2x=7+5                        

2x=12                                

x=6                    

|2x-1|-4=7

|2x-1|=7+4

|2x-1|=11

2x-1=-11

2x=-10

x=-5