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.](/uploads/image/z/5303802-66-2.jpg?t=%E5%B7%B2%E7%9F%A5%7Cx-y%2B3%7C%E4%B8%8E2%EF%BC%88x%2By%EF%BC%89%26%23178%3B%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%2C%E6%B1%82x%26%23178%3B%2B2xy%2By%26%23178%3B%E7%9A%84%E5%80%BC%EF%BC%8E)
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