已知x^2+y^2-6x-8y+25=0,求分式y/x - x/y的值
问题描述:
已知x^2+y^2-6x-8y+25=0,求分式y/x - x/y的值
答
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且y=4
y/x - x/y = 4/3 - 3/4 = 7/12