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如X+1/X=3,X四次方+1/X四次方等于多少
题目详情
如X+1/X=3,X四次方+1/X四次方等于多少
▼优质解答
答案和解析
X4+1/X4
=(X²+1/X²)²-2
X²+1/X²=(X+1/X)²-2=7
则(X²+1/X²)²-2
=49-2
=47
=(X²+1/X²)²-2
X²+1/X²=(X+1/X)²-2=7
则(X²+1/X²)²-2
=49-2
=47
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