求一道数学题解!已知:x²+y²-8x-10y+41=0,求x/y-y/x=?
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![求一道数学题解!已知:x²+y²-8x-10y+41=0,求x/y-y/x=?](/uploads/image/z/8886208-40-8.jpg?t=%E6%B1%82%E4%B8%80%E9%81%93%E6%95%B0%E5%AD%A6%E9%A2%98%E8%A7%A3%21%E5%B7%B2%E7%9F%A5%EF%BC%9Ax%26%23178%3B%2By%26%23178%3B-8x-10y%2B41%3D0%2C%E6%B1%82x%2Fy-y%2Fx%3D%3F)
求一道数学题解!已知:x²+y²-8x-10y+41=0,求x/y-y/x=?
求一道数学题解!
已知:x²+y²-8x-10y+41=0,求x/y-y/x=?
求一道数学题解!已知:x²+y²-8x-10y+41=0,求x/y-y/x=?
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
x^2+y^2-8x-10y+41=0x^2-8x+16+y^2-10y+25=0(x-4)^2+(y-5)^2=0x-4=0 y-5=0x=4 y=5x/y-y/x=4/5-5/4=0.8-1.25=-0.45