若|x+y+1|与(x-y-2)2互为相反数,则(3x-y)4=______

若|x+y+1|与(x-y-2)2互为相反数,则(3x-y)4=______.
2025-04-24 07:11:03
推荐回答(1个)
回答1:

∵|x+y+1|与(x-y-2)2互为相反数,
∴|x+y+1|+(x-y-2)2=0,

x+y+1=0
x?y?2=0

解得
x=
1
2
y=?
3
2

则(3x-y)4=(
3
2
+
3
2
4=34=81.