已知|x-y+4|与2(x+y)²互为相反数,则x²+y²的值是

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已知|x-y+4|与2(x+y)²互为相反数,则x²+y²的值是
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已知|x-y+4|与2(x+y)²互为相反数,则x²+y²的值是
已知|x-y+4|与2(x+y)²互为相反数,则x²+y²的值是

已知|x-y+4|与2(x+y)²互为相反数,则x²+y²的值是
知|x-y+4|与2(x+y)²互为相反数,
|x-y+4|>=0 2(x+y)²>=0
所以
x-y+4=0
x+y=0
x=-2 y=2
x^2+y^2=8