zenmuhuo:
∵4x²-4x+y²+6y+10=0
4x²-4x+1+y²+6y+9=0
(2x-1)²+(y+3)²=0
且(2x-1)²≥0,(y+3)²≥0
∴2x-1=0,y+3=0
解得x=1/2,y=-3
∴x+y=1/2-3=-5/2
zenmuhuo:
∵4x²-4x+y²+6y+10=0
4x²-4x+1+y²+6y+9=0
(2x-1)²+(y+3)²=0
且(2x-1)²≥0,(y+3)²≥0
∴2x-1=0,y+3=0
解得x=1/2,y=-3
∴x+y=1/2-3=-5/2