若4x2+9y2-4x-12y+5=0,则2x+3/2y=_.
问题描述:
若4x2+9y2-4x-12y+5=0,则2x+
y=______. 3 2
答
∵4x2+9y2-4x-12y+5=(4x2-4x+1)+(9y2-12y+4)=(2x-1)2+(3y-2)2=0,
∴2x-1=0且3y-2=0,
解得:x=
,y=1 2
,2 3
则2x+
y=2×3 2
+1 2
×3 2
=1+1=2.2 3
故答案为:2