初二数学已知X方-X+1分之X=7,求X四次方+X二次方+1分之X二次方的值
人气:342 ℃ 时间:2019-08-17 17:05:05
解答
X方-X+1分之X=7
(x²-x+1)/x=1/7
x-1+1/x=1/7
x+1/x=8/7
X四次方+X二次方+1分之X二次方 分子分母同时除以x²
=1/(x²+1+1/x²)
=1/[(x+1/x)²-1]
=1/(64/49-1)
=49/15
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