x*x+y*y+2z*z-2x+4y+4z+7=0,求xyz的值
问题描述:
x*x+y*y+2z*z-2x+4y+4z+7=0,求xyz的值
用公式法
答
x*x+y*y+2z*z-2x+4y+4z+7=0
(x*x-2x+1)+(y*y+4y+4)+2(z*z+2z+1)=0
(x-1)^2+(y+2)^2+2(z+1)^2=0
x=1,y=-2,z=-1
xyz=2