👤
a fost răspuns

Determinati numerele x,y,z siind ca sunt direct proportionale cu 0.25 ; 0.(3) ; 0.5 si ca xy+xz+yz =3xyz.

Răspuns :

Renatemambouko
0,25=25/100=1/4
0,(3)=3/9=1/3
0,5=5/10=1/2
x/(1/4)=y/(1/3)=z/(1/2)
4x=3y=2z         y=4x/3     z= 4x/2=2x
x×4x/3+x×2x+4x/3×2x=3×x×4x/3×2x
4x²/3+2x²+8x²/3=8x³
4x²+6x²+8x²=24x³
18x²=24x³
x=18/24=3/4
y=4/3 ×3/4=1
z=2×3/4=3/2

Alte intrebari