已知X2-2x+y2+6y+10=0,求(x2-2xy)/(xy+y2)的值
问题描述:
已知X2-2x+y2+6y+10=0,求(x2-2xy)/(xy+y2)的值
答
x²-2x+y²+6y+10=0,变换得(x-1)²+(y+3)²=0,∴x=1,y=-3
∴
(x2-2xy)/(xy+y2)
=(1²-2*(-3))/(1*(-3)+(-3)²)
=7/6