已知x求^2+y^2-6x-8y+25=0求1/x-y /x+y/x^4-y^4

已知x求^2+y^2-6x-8y+25=0求1/x-y /x+y/x^4-y^4


x^2+y^2-6x-8y+25=0
x^2-6x+9 +y^2-8y+16=0
(x-3)^2 +(y-4)^2=0
∴x=3,y=4
你要求的多項式,我看不明白到底是什麼?但知道了x、y的值,結果也很容易得到了



已知:x^2+y^2+6x-8y+25=0,求(x/x^2-y^2)÷y/(y-x)


x²;+y²;+6x-8y+25=0
(x²;+6x+9)+(y²;-8y+16)=0
(x+3)²;+(y-4)²;=0
x+3=0,y-4=0
x=-3,y=4
x/(x²;-y²;)÷y/(y-x)
=x/[(x+y)(x-y)]×(y-x)/y
=-x/[y(x+y)]
=3/[4×(-3+4)]
=3/4



已知x^2+y^2-6x-8y+25=0,求x分之y-y分之x


x^2+y^2-6x-8y+25=0
(x-3)^2+(y-4)^2=0
x=3,y=4
y/x-x/y
=4/3-3/4
=7/12