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根号m的6次方等于1,求M的值

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2011-12-09

66 0
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2011-12-05

63 0
  既然题目没有说m为实数,我认为m的值有6个: m=cos(2kπ/6)+isin(2kπ/6) (整数k=0,1,2,3,4,5) 所以, k=0时,m=1; k=1时,m=1/2+((√3)/2)i; k=2时,m=-1/2+((√3)/2)i; k=3时,m=-1; k=4时,m=-1/2-((√3)/2)i; k=5时,m=1/2-((√3)/2)i。
   (“i”为虚数单位) 故m值为以上6个! 。

2011-12-05

47 0
根号m的6次方等于1,求M的值 ①(√m)^6=1 ===> m^3=1 ===> m=1 ②√(m^6)=1 ===> |m^3|=1 ===> |m|=1 ===> m=±1.

2011-12-05

35 0
如果6次方在根号外,M=1 如果6次方在根号内,M=±1

2011-12-05

34 0
根号m的6次方等于1,求M的值 M=1

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