Question

Determinati numerele x, y , z , stiind ca sunt direct proportionale cu numerele 0,25 ; 0,(3) ; 0,5 si ca xy+xz+yz =3xyz.

Answer 1

deci ai asa:
x:0,25=x:25:100=100x:25=4x
y:0,(3)=9y:3=3y
z:0.5=10z:5=2z
=>4x=3y=2z=k
=>x=k:4
y=k:3
z=k:2
=>(k:4)(k:3)+(k:4)(k:2)+(k:3)(k:2)=3(k:4)(k:3)(k:2)
=>$k^{2}$:12+