已知实数x,y满足x2+5y2+4xy+y+1/4=0,求x,y.

问题描述:

已知实数x,y满足x2+5y2+4xy+y+1/4=0,求x,y.

配方:
(x+2y)^2+ (y+1/2)^2= 0
所以:
x+2y=0,y+1/2=0
解得:
x=1,y=-1/2