设实数x,y满足x²+1/2y²4-xy+2y=0.则x=___,y=___

问题描述:

设实数x,y满足x²+1/2y²4-xy+2y=0.则x=___,y=___

即(x²-xy+1/4y²)+(1/4y²+2y+4)=0
(x-1/2y)²+(1/2y+2)²=0
所以x-1/2y=0
1/2y+2=0
所以
x=2
y=-4