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1/X+1/x²+1/x3+1/x4+…+1/x10=1.882,求X?
题目详情
1/X+1/x²+1/ x3+1/ x4+ …+1/ x10=1.882,求X?
▼优质解答
答案和解析
1/(x - 1) - 1/(x^10*(x - 1))=1.882
solve(' 1/(x - 1) - 1/(x^10*(x - 1))=1.882')
ans =
1.5234597453234488591561142753876
-0.86033510653976812307020197041252
0.59861109095426950175598281475316*i + 0.72231705107266967635512843733381
0.82042044463954738117222649849978*i - 0.30522715950744629717467320441735
0.49255441657809591131011900789904*i - 0.70973807330530647775832182212296
- 0.49255441657809591131011900789904*i - 0.70973807330530647775832182212296
- 0.82042044463954738117222649849978*i - 0.30522715950744629717467320441735
0.22676067637587291119378397550746 - 0.86836425804190646444863931440217*i
0.72231705107266967635512843733381 - 0.59861109095426950175598281475316*i
0.86836425804190646444863931440217*i + 0.22676067637587291119378397550746
solve(' 1/(x - 1) - 1/(x^10*(x - 1))=1.882')
ans =
1.5234597453234488591561142753876
-0.86033510653976812307020197041252
0.59861109095426950175598281475316*i + 0.72231705107266967635512843733381
0.82042044463954738117222649849978*i - 0.30522715950744629717467320441735
0.49255441657809591131011900789904*i - 0.70973807330530647775832182212296
- 0.49255441657809591131011900789904*i - 0.70973807330530647775832182212296
- 0.82042044463954738117222649849978*i - 0.30522715950744629717467320441735
0.22676067637587291119378397550746 - 0.86836425804190646444863931440217*i
0.72231705107266967635512843733381 - 0.59861109095426950175598281475316*i
0.86836425804190646444863931440217*i + 0.22676067637587291119378397550746
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