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若a的2x次方=根号2-1,则(a的3x次方+a的负3x次方)/(a的x次方+a的负x次方)等于
人气:345 ℃ 时间:2019-08-16 22:41:06
解答
a的2x次方=根号2-1,
则(a的3x次方+a的负3x次方)/(a的x次方+a的负x次方)等于
[a^x+a^(-x)][a^(2x)-a^xa^(-x)+a^(-2x)]/(a^x+a^(-x))
=a^(2x)-a^xa^(-x)+a^(-2x)
=√2-1-1+1/(√2-1)
=√2-1-1+√2+1
=2√2-1
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