已知a+a分之1等于-2,求a的4次方减a的4次方分之1等于几?
已知a+a分之1等于-2,求a的4次方减a的4次方分之1等于几?
数学人气:366 ℃时间:2019-08-28 03:57:32
优质解答
因为,a+1/a=-2所以,(a+1/a)²=a²+1/a²+2=4,即,a²+1/a²=2,则,(a-1/a)²=a²+1/a²-2=2-2=0所以,a-1/a=0a^4-1/a^4=(a²+1/a²)(a+1/a)(a-1/a)=0
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