xyz满足方程2/5(2x-6)^2+2(y+3)^2+7丨z-2丨=0
问题描述:
xyz满足方程2/5(2x-6)^2+2(y+3)^2+7丨z-2丨=0
x+y+z为?
答
∵(2/5)(2x-6)^2+2(y+3)^2+7Iz-2I=0
又∵(2x-6)^2≥0,(y+3)^2≥0,Iz-2I≥0
∴2x-6=0,y+3=0,z-2=0
解之得:x=3,y=-3,z=2
∴x+y+z=3-3+2
=2