Question

X, y si z d. p cu nr 0, 25, 0, perioada 3 si 0, 5. Aflati x , y si z stiind ca xy + xz+yz=3xyz
Ma puteti ajuta?

Answer 1

0,25=25/100=1/4
0,(3)=3/9=1/3
0,5=5/10=1/2
x/4 = y/3 = z/2 = k
x=4k
y=3k
z=2k
xy=4k·3k=12k²
xz=4k·2k=8k²
yz=3k·2k=6k²
3xyz=3·4k·3k·2k=72k³
12k²+8k²+6k²=72k³
26k²=72k³  l:2k²
13=36k
k=13/36
=>x=13/9
=>y=13/12
=>z=13/18