若X+1/X=2√3,则X-1/X=?
人气:234 ℃ 时间:2020-03-20 11:22:41
解答
x+1/x=2√3
两边平方
x²+2+1/x²=12
x²+1/x²=10
(x-1/x)²
=x²-2+1/x²
=10-2
=8
所以x-1/x=±2√2
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