若有理数x、y、z满足等式(x-1)^2+(2x-y)^4+|x-3z|=0,求x、y、z的值
人气:377 ℃ 时间:2020-09-01 12:22:07
解答
因为(x-1)^2,(2x-y)^4,|x-3z|每一项都>=0
而三者之和为0
所以每一项都为0
x=1
2x-y=0
x=3z
所以y=2,z=1/3,x=1
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