设实数x,y满足x^2+y^2+8x+6y+25=0,求(x^2-4y^2)/(x^2+4xy+4y^2)-x/x+2y的值.
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![设实数x,y满足x^2+y^2+8x+6y+25=0,求(x^2-4y^2)/(x^2+4xy+4y^2)-x/x+2y的值.](/uploads/image/z/3757794-42-4.jpg?t=%E8%AE%BE%E5%AE%9E%E6%95%B0x%2Cy%E6%BB%A1%E8%B6%B3x%5E2%2By%5E2%2B8x%2B6y%2B25%3D0%2C%E6%B1%82%28x%5E2-4y%5E2%29%2F%28x%5E2%2B4xy%2B4y%5E2%29-x%2Fx%2B2y%E7%9A%84%E5%80%BC%EF%BC%8E)
设实数x,y满足x^2+y^2+8x+6y+25=0,求(x^2-4y^2)/(x^2+4xy+4y^2)-x/x+2y的值.
设实数x,y满足x^2+y^2+8x+6y+25=0,求(x^2-4y^2)/(x^2+4xy+4y^2)-x/x+2y的值.
设实数x,y满足x^2+y^2+8x+6y+25=0,求(x^2-4y^2)/(x^2+4xy+4y^2)-x/x+2y的值.
x^2+y^2+8x+6y+25
=(x+4)^2+(y+3)^2=0
则x+4=0
y+3=0
(x^2-4y^2)/(x^2+4xy+4y^2)-x/(x+2y)
=[(x+2y)(x-2y)]/(x+2y)^2-x/(x+2y)
=(x-2y)/(x+2y)-x/(x+2y)
=-2y/(x+2y)
=6/-10
=-3/5
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