根号2x-y+|y+2|=0.求代数式【(x-y)²+(x+y)(x-y)】÷2x的值.

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根号2x-y+|y+2|=0.求代数式【(x-y)²+(x+y)(x-y)】÷2x的值.

根号2x-y+|y+2|=0.求代数式【(x-y)²+(x+y)(x-y)】÷2x的值.
根号2x-y+|y+2|=0.求代数式【(x-y)²+(x+y)(x-y)】÷2x的值.

根号2x-y+|y+2|=0.求代数式【(x-y)²+(x+y)(x-y)】÷2x的值.
根号2x-y+|y+2|=0
所以
2x-y=0,|y+2|=0
y=2x
y=-2
所以
x=-1
y=-2
从而
【(x-y)²+(x+y)(x-y)】÷2x
=【x²-2xy+y²+x²-y²】÷2x
=【2x²-2xy】÷2x
=x-y
=-1+2
=1

根号2x-y+|y+2|=0
则,{ 2x-y=0
y+2=0
解得,x=-1,y=-2
【(x-y)²+(x+y)(x-y)】÷2x
=【(-1+2)²+(-1-2)(-1+2)】÷(-2)
=(-2)÷(-2)
=1