已知：x/2=y/3=z/4,求xy+2yz-3xz/x²+y²+z²的值

已知：x/2=y/3=z/4,求xy+2yz-3xz/x²+y²+z²的值
已知：x/2=y/3=z/4,求xy+2yz-3xz/x²+y²+z²的值

已知：x/2=y/3=z/4,求xy+2yz-3xz/x²+y²+z²的值
x/2=y/3=z/4=t
∴x=2t y=3t z=4t
xy+2yz-3xz/x²+y²+z2²
=(6t²+24t²-16t²)/(4t²+9t²+32t²)
=14/45