若x/3=y/1=z/4,且xy+xz+zy=76,求2x(2)+12y(2)+9z(2)
问题描述:
若x/3=y/1=z/4,且xy+xz+zy=76,求2x(2)+12y(2)+9z(2)
x(2)指x的2次房
y(2)指y的2次房
z(2)指z的2次房
答
因为x/3=y/1=z/4所以设x/3=y/1=z/4=m则x=3m,y=m,z=4m所以x(2)=9m(2),y(2)=m(2),z(2)=16m(2)所以2x(2)+12y(2)+9z(2) =18m(2)+12m(2)+144m(2)因为xy+xz+zy=76所以3m*m+3m*4m+4m*m=76解得3m(2)+12m(2)+4m(2)=7619...