Question

Ajutor! Dau COROANA. Faceti cat puteti​

Answer 1

Răspuns:

$a)\:|x|=7\\x=\pm7$

$b)\:|x|-5=1\:\:|+5\\|x|=6\\x=\pm6$

$c)\:|x-3|=11\\x_1-3=-11\\x_1=-11+3\\x_1=-8\\x_2-3=11\\x_2=11+3\\x_2=14$

$d)\:-3|x+2|=18\\x=\O$

$e)\:|x+2|\times(-5)+6=1\\-5\times|x+2|+6=1\:\:|-6\\-5\times|x+2|=-5\:\:|:(-5)\\|x+2|=1\\x_1+2=1\\x_1=1-2\\x_1=-1\\x_2+2=-1\\x_2=-1-2\\x_2=-3$

Answer 2

8. Rezolvați în mulțimea Z ecuațiile:

a) |x|=7

x=7

x= -7

b) |x|-5=1

|x|=1+5

|x|=6

x=6

x= -6

c) |x-3|=11

x-3=11

x=-8

x-3= -11

x= 14

d) -3|x+2|=18

x= mulțime vidă

e) |x+2|×(-5)+6=1

-5×|x+2|+6=1

-5×|x+2|=1-6

-5×|x+2|= -5

|x+2|=1

x+2=1

x=-1

x+2=-1

x=-3

Succes!