若X²-X-2=0,则(X²-X)²-1+根号3分之X²-X+2根号3的值等于

问题描述:

若X²-X-2=0,则(X²-X)²-1+根号3分之X²-X+2根号3的值等于
1个回答 分类:综合 2014-10-19

问题解答:

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∵X²-X-2=0
∴x²-x=2
(X²-X)²-1+根号3分之X²-X+2根号3
=[(x²-x+2√3]/[(x²-x)²-1+√3]
=(2+2√3)/(4-1+√3)
=(2+2√3)(3-√3)/(3+√3)(3-√3)
=(6+6√3-2√3-6)/(9-3)
=4√3/6
=2√3/3
 
 
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