已知丨x+y+1丨与(x-2y)²互为相反数,试求x,y的值.
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![已知丨x+y+1丨与(x-2y)²互为相反数,试求x,y的值.](/uploads/image/z/1819592-8-2.jpg?t=%E5%B7%B2%E7%9F%A5%E4%B8%A8x%EF%BC%8By%EF%BC%8B1%E4%B8%A8%E4%B8%8E%28x%EF%BC%8D2y%29%26%23178%3B%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%2C%E8%AF%95%E6%B1%82x%2Cy%E7%9A%84%E5%80%BC.)
已知丨x+y+1丨与(x-2y)²互为相反数,试求x,y的值.
已知丨x+y+1丨与(x-2y)²互为相反数,试求x,y的值.
已知丨x+y+1丨与(x-2y)²互为相反数,试求x,y的值.
绝对值和平方互为相反数,所以值为0.所以x-2y=0.x=2y,带入第一个,则3y+1=0所以,y=1/3.x=2/3
因为|x+y+1|≥0、(x-2y)²≥0,两者若互为相反数,则 |x+y+1|=(x-2y)²=0,∴ x=-2/3,y=-1/3;
谢谢望采纳