已知x²+y²-2x+4y+5=0,求(x四次方-y四次方)/(x²-2xy+y²?
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已知x²+y²-2x+4y+5=0
x²-2x+1+y²+4y+4=0
(x-1)²+(y+2)²=0;
x-1=0;
x=1;
y+2=0;
y=-2;
(x四次方-y四次方)/(x²-2xy+y²)·(x-y)/(xy+y²)÷【(x²+y²)/y】²
=(x-y)(x+y)(x²+y²)/(x-y)²×(x-y)/y(x+y)×y²/(x²+y²)²
=y/(x²+y²)
=-2/(1+4)
=-2/5;,7,已知x²+y²-2x+4y+5=0,求(x四次方-y四次方)/(x²-2xy+y²)·(x-y)/
(xy+y²)÷【(x²+y²)/y】²的值
x²-2x+1+y²+4y+4=0
(x-1)²+(y+2)²=0;
x-1=0;
x=1;
y+2=0;
y=-2;
(x四次方-y四次方)/(x²-2xy+y²)·(x-y)/(xy+y²)÷【(x²+y²)/y】²
=(x-y)(x+y)(x²+y²)/(x-y)²×(x-y)/y(x+y)×y²/(x²+y²)²
=y/(x²+y²)
=-2/(1+4)
=-2/5;,7,已知x²+y²-2x+4y+5=0,求(x四次方-y四次方)/(x²-2xy+y²)·(x-y)/
(xy+y²)÷【(x²+y²)/y】²的值
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