Răspuns:
[tex]\frac{x}{0,25} =\frac{y}{0,(3)} =\frac{z}{0,5}[/tex]
[tex]\frac{x}{\frac{1}{4} } =\frac{y}{\frac{1}{3} } =\frac{z}{\frac{1}{2} }[/tex]
4x=3y=2z ⇒ [tex]y=\frac{4x}{3}[/tex] [tex]z=\frac{4x}{2}[/tex]
xy+xz+yz=54
[tex]\frac{4x^{2} }{3}+\frac{4x^{2}}{2} +\frac{16x^{2}}{6} =54[/tex] / ·6
8x²+12x²+16x²=324
36x²=324 /:36
x²=9 ⇒ x=3, y=4, z=6
Explicație pas cu pas:
