问题
填空题
若y(x-1)-x(y-1)=5,则
|
答案
∵y(x-1)-x(y-1)=5,
∴yx-y-xy+x=5,
∴x-y=5,
∴
-xy=x2+y2 2
-(x-y) 2+2xy 2
=2xy 2
,(x-y) 2 2
∵x-y=5,
∴原式=
=52 2
;25 2
故答案为:
.25 2
若y(x-1)-x(y-1)=5,则
|
∵y(x-1)-x(y-1)=5,
∴yx-y-xy+x=5,
∴x-y=5,
∴
-xy=x2+y2 2
-(x-y) 2+2xy 2
=2xy 2
,(x-y) 2 2
∵x-y=5,
∴原式=
=52 2
;25 2
故答案为:
.25 2