Question

Aflati x din urmatoarele egalitati:
A) [6*(12:x+56):3-18]*7+78=792.
B). {[(107-63:x)*9-2]:5+3*9}*4-12=800
C). 396:11-[750:x-144:(8*3:2)-18]=36
D). 306:3-{15-5*[8-2*(3:x)]+23}:4=95
E). 205-55:{28-23:[13-6*(4-2*x)]}=194

Answer 1

a) [6*(12:x+56):3-18]*7=792-78=714
6*(12:x+56):3-18=714:7=102
6*(12:x+56):3=102+18=120
6*(12:x+56)=120*3=360
12:x+56=360:6=60
12:x=60-56=4
x=12:4=3
b) {[(107-63:x)*9-2]:5+3*9}*4=800+12=812
[(107-63:x)*9-2]:5+27=812:4=203
[(107-63:x)*9-2]:5=203-27=176
(107-63:x)*9-2=176*5=880
(107-63:x)*9=880+2=882
107-63:x=882:9=98
63:x=107-98=9
x=63:9=7
c) 396:11-[750:x-144:(8*3:2)-18]=36
36-[750:x-144:(8*3:2)-18]=36
750:x-144:(8*3:2)-18=36-36=0
750:x-144:12-18=0
750:x-12-18=0
750:x=12+18=30
x=750:30=25
d) 306:3-{15-5*[8-2*(3:x)]+23}:4=95
102-{15-5*[8-2*(3:x)]+23}:4=95
{15-5*[8-2*(3:x)]+23}:4=102-95=7
15-5*[8-2*(3:x)]+23=7*4=28
5*[8-2*(3:x)]=38-28=10
8-2*(3:x)=10:5=2
2*(3:x)=8-2=6
3:x=6:2=3
x=3:3=1
e) 205-55:{28-23:[13-6*(4-2*x)]}=194
55:{28-23:[13-6*(4-2*x)]}=205-194=11
28-23:[13-6*(4-2*x)]=55:11=5
23:[13-6*(4-2*x)]=28-5=23
13-6*(4-2*x)=23:23=1
6*(4-2*x)=13-1=12
4-2*x=12:6=2
2*x=4-2=2
x=2:2=1