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Prove that - omega, " and " - omega^(2...

Prove that ` - omega, " and " - omega^(2)` are the roots of ` z^(2) - z + 1 = 0`, where `omega " and " omega^(2)` are the complex cube roots of unity .

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DE MOIVRE'S THEOREM-EXERCISE - 2 (b)
  1. If 1 , omega , omega^(2) are the cube roots of unity, then prove that ...

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  2. If 1 , omega , omega^(2) are the cube roots of unity, then prove that ...

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  3. Prove that - omega, " and " - omega^(2) are the roots of z^(2) - z...

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  4. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  5. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  6. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  7. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  8. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  9. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  10. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  11. Solve the following equations. x^(4) - 1 = 0

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  12. Solve the following equations. x^(5) + 1 = 0

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  13. Solve the following equations. x^(9) - x^(5) + x^(4) - 1 = 0

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  14. Solve the following equations. x^(4) + 1 = 0

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  15. Find the number of 15^(th)roots of unity, which are also 25^(th) roots...

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  16. If the cube roots of unity are 1 , omega , omega^(2), then find the r...

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  17. Find the product of all the values of (1 + i)^(4//5).

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  18. If z^(2) + z + 1 = 0, where z is a complex number , prove that ( z...

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  19. If 1,alpha,alpha^2,alpha^3,…,alpha^(n-1) be the n^(th) roots of unity,...

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  20. Prove the sum of 99t^(th) powers of the roots of the equation x^7-1 = ...

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