2的n次方+256为一个完全平方数,求n
人气:352 ℃ 时间:2019-09-24 05:34:27
解答
256=2^8=16^2
2^n+2^8
=2^8(1+2^(n-8))
所以要求 1+2^(n-8)是完全平方数
可得 n-8=3,即n =11
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