已知x²+y²+8x+6y+25=0,求代数式(x²-4y/x²+4xy+4y²)-(x/x+2y)
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已知x²+y²+8x+6y+25=0,求代数式(x²-4y/x²+4xy+4y²)-(x/x+2y)
已知x²+y²+8x+6y+25=0,求代数式(x²-4y/x²+4xy+4y²)-(x/x+2y)
已知x²+y²+8x+6y+25=0,求代数式(x²-4y/x²+4xy+4y²)-(x/x+2y)
.已知 x²+y²+8x+6y+25=0.求代数式x²-4y²/x²+4xy+4y² — x/x+2y的值
由x²+y²+8x+6y+25=0.可得 x²+8x+16+y²+6y+9=0 所以(x+4)^2+(y+3)^2=0
x+4=0,y+3=0 所以x=-4,y=-3
x²-4y²/x²+4xy+4y² — x/x+2y=【x²-4y²-x*(x+2y)】/(x+2y)^2=[-4y^2-2xy])/(x+2y)^2
=-2(2y+x)/(x+2y)^2=-2/(x+2y)=-2/[-4-6]=1/5
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