若(x+3)²+|y+1|+z²=0,则x²+y²+z²的值为()如题
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若(x+3)²+|y+1|+z²=0,则x²+y²+z²的值为()如题
若(x+3)²+|y+1|+z²=0,则x²+y²+z²的值为()
如题
若(x+3)²+|y+1|+z²=0,则x²+y²+z²的值为()如题
解由(x+3)²+|y+1|+z²=0
且(x+3)²,|y+1|,z²均为非负数
则x+3=0且y+1=0且z=0
即x=-3,y=-1,z=0
故x^2+y^2+z^2
=(-3)^2+(-1)^2+0^2
=9+1+0
=10
10