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Ifz(1),z(2),z(3) andz(4)are the roots of...

If`z_(1),z_(2),z_(3) andz_(4)`are the roots of the equation `z^(4)=1,` the value of`sum_(i=1)^(4)zi^(3)`is

A

0

B

1

C

`i,i=sqrt(-1)`

D

`1+i,i=sqrt(-1)`

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A
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Knowledge Check

  • let z_1,z_2,z_3 and z_4 be the roots of the equation z^4 + z^3 +2=0 , then the value of prod_(r=1)^(4) (2z_r+1) is equal to :

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    A
    Statement -1 is True, Statement -2 is True, Statement -2 is a correct explanation for statement -4
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