已知|x-y+3|与2(x+y)²互为相反数,求x²+2xy+y²的值.
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已知|x-y+3|与2(x+y)²互为相反数,求x²+2xy+y²的值.
已知|x-y+3|与2(x+y)²互为相反数,求x²+2xy+y²的值.
已知|x-y+3|与2(x+y)²互为相反数,求x²+2xy+y²的值.
|x-y+3|与2(x+y)²互为相反数
x-y+3=0
x+y=0
x=-3/2
y=3/2
x²+2xy+y²
=(x+y)²
=0
必有x-y+3=0以及x+y=0
故x=3/2,y--3/2
x²+2xy+y²=(x+y)^2=0
|x-y+3|与2(x+y)²互为相反数,|x-y+3|+2(x+y)²=0
|x-y+3|与2(x+y)²都为非负数,则|x-y+3|=0,2(x+y)²=0
x-y+3=0,x+y=0可求x,y