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Grade 11Algebra

IF A={x BELONGS to COMPLEX NO:x2=1}

B={x belongs to complex no :x4=1}, THEN FIND A-B AND B-A.

Profile image of vardaan kumar
16 Years agoGrade 11
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1 Answer

Profile image of Badiuddin askIITians.ismu Expert
16 Years ago

Dear vardan kumar

x2=1

solution for this equation is x= cos2r∏/2 + isin2r∏/2   where r=0,1

                   so x =1 and -1


for x4=1

 

solution for this equation is x= cos2r∏/4 + isin2r∏/4   where r=0,1,2,3

                   so x =1  , cos∏/2 + isin∏/2 ,cos∏ + isin∏ ,cos3∏/2 + isin3∏/2

                       x =1 ,i ,-1,-i

so A-B = Φ

and B-A = i,-i

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