x的二次方+5y的二次方-4xy-6y+9=0x²+4y²-4xy+y²-6y+9=0(x-2y)²+(y-3)²=0(x-2y)²>=0,(y-3)²>=0,若等式成立,(x-2y)²=0,(y-3)²=0,即x-2y=0;y-3=0,y=3;x=2y=2*3=6;x=6,y=3;