已知|x-2|+(3x+y+m)²=0,当m为何值时,y≥0?
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已知|x-2|+(3x+y+m)²=0,当m为何值时,y≥0?
已知|x-2|+(3x+y+m)²=0,当m为何值时,y≥0?
已知|x-2|+(3x+y+m)²=0,当m为何值时,y≥0?
|x-2|+(3x+y+m)²=0
x-2=0,3x+y+m=0
x=2
y+m=-6
y=-6-m
∵y≥0
∴-6-m≥0
m≤-6
|x-2|+(3x+y+m)²=0
x-2=0
3x+y+m=0
x=2
6+y+m=0
y=-6-m
y≥0
-6-m≥0
m≤-6
|x-2|+(3x+y+m)²=0
则必有:
x-2=0
3x+y+m=0
解得:
x=2
y=-3x-m=-6-m≥0
m≤-6