已知实数X,Y满足√2x+y+y^2-y+1/4=0,求x+y的值拜托各位了 3Q

已知实数X,Y满足√2x+y+y^2-y+1/4=0,求x+y的值拜托各位了 3Q
已知实数X,Y满足√2x+y+y^2-y+1/4=0,求x+y的值拜托各位了 3Q

已知实数X,Y满足√2x+y+y^2-y+1/4=0,求x+y的值拜托各位了 3Q
√2x+y+y^2-y+1/4=0 化成 √2x+y+(y^2-y+1/4)=0 √2x+y+(y-1/2)^2=0 2个大于等于0的式子相加为0,则 2x+y=0 y=1/2 x+y=-1/2