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If z(4)+1=0,"where"i=sqrt(-1) then z can...

If `z_(4)+1=0,"where"i=sqrt(-1)` then z can take the value

A

`(1+i)/(sqrt(2))`

B

`cos""((pi)/(8))+isin""((pi)/(8))`

C

`(1)/(4i)`

D

`i`

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