问题
填空题
若2x2+2xy+y2-2x+1=0,则xy的值是______.
答案
∵2x2+2xy+y2-2x+1=0,即(x+y)2+(x-1)2=0,
∴
,解得x+y=0 x-1=0
.x=1 y=-1
∴xy=1×(-1)=-1.
若2x2+2xy+y2-2x+1=0,则xy的值是______.
∵2x2+2xy+y2-2x+1=0,即(x+y)2+(x-1)2=0,
∴
,解得x+y=0 x-1=0
.x=1 y=-1
∴xy=1×(-1)=-1.