Question

已知x²+y²-8x-10y+41=0,求x/y-y/x的值

Answer 1

x²+y²-8x-10y+41=0

(x²-8x+16)+(y²-10y+25)=0

(x-4)²+(y-5)²=0

x-4=0,y-5=0

x=4,y=5

x/y-y/x

=4/5-5/4

=-9/20