X2+Y2+8X+6Y+25=0 求代数式(x2-4y2/x2+4xy+4y2)-x/x+2y
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X2+Y2+8X+6Y+25=0 求代数式(x2-4y2/x2+4xy+4y2)-x/x+2y
X2+Y2+8X+6Y+25=0 求代数式(x2-4y2/x2+4xy+4y2)-x/x+2y
X2+Y2+8X+6Y+25=0 求代数式(x2-4y2/x2+4xy+4y2)-x/x+2y
X2+Y2+8X+6Y+25=0
x^2+y^2+8x+6y+25=0
x^2+8x+16+y^2+6y+9=0
(X+4)^2+(y+3)^2=0
x=-4 y=-3
(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
=(x-2y-x)/x+2y
=-2y/x+2y
=-2(-3)/(-4)+2(-3)
=6/-10
=-3/5
x^2+y^2+8x+6y+25=0
(X+4)^2+(y+3)^2=0
所以x=-4,y=-3
(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
=(x-2y-x)/x+2y
=-2y/x+2y
=-2(-3)/(-4)+2(-3)
=6/-10
=-3/5