已知x^2 + y^2 - 6x + 2y + |z+3| + 10=0,求x-y+z的值
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已知x^2+y^2-6x+2y+|z+3|+10=0,求x-y+z的值已知x^2+y^2-6x+2y+|z+3|+10=0,求x-y+z的值已知x^2+y^2-6x+2y+|z+3|+10=0,求x-
已知x^2 + y^2 - 6x + 2y + |z+3| + 10=0,求x-y+z的值
已知x^2 + y^2 - 6x + 2y + |z+3| + 10=0,求x-y+z的值
已知x^2 + y^2 - 6x + 2y + |z+3| + 10=0,求x-y+z的值
x^2 + y^2 - 6x + 2y + |z+3| + 10
=(x+3)^2+(y+1)^2+|z+3|=0
平方和绝对值的值恒为非负值
只有他们都为0的时候,他们的和才为0
所以x+3=0 y+1=0 z+3=0
则x=-3 y=-1 z=-3
则x-y+z=-3+1-3=-5
x^2 + y^2 - 6x + 2y + |z+3| + 10
=(x+3)^2+(y+1)^2+|z+3|=0
所以x+3=0 y+1=0 z+3=0
则x=-3 y=-1 z=-3
则x-y+z=-3+1-3=-5
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