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Solve: z^7-1=0...

Solve: `z^7-1=0`

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The correct Answer is:
`x-e^((i(2k+1)pi)/7), k=0,1,2,....,6`
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. (-64)^(1/4) equals

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  2. If omega is an imaginary cube root of unity then the value of omega^n+...

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  3. Solve: z^7-1=0

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  4. Located the complex numbers z=x+iy for which: log(1/2)((abs(z-1)+4)/(3...

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  5. Ifz1,z2,z3 represent three vertices of an equilateral triangle in arga...

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  6. Express the following expreeion in the form of a+ib : ((3+isqrt5)(3-is...

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  7. If z1=2-i, z2=1+i, find abs((z1+z2+1)/(z1-z2+i))

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  8. Find the real numbers x and y if (x-iy)(3+5i) is the conjugate of -6-2...

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  9. If alpha and beta are different complex numbers with absbeta=1. then f...

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  10. If (a+ib)(c+id)(e+if)(g+ih)=A+iB, then show that (a^2+b^2)(c^2+d^2)(e^...

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  11. If iz^3+z^2-z+i=0 then the value of abs(z) is

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  12. If z1nez2 and abs(z2)=1 the abs((z1-z2)/(1-barz1z2))=

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  13. If abs(z+barz)=abs(z-barz), then the locus of z is

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  14. If log(tan30^@)((2absz^2+2absz-3)/(absz+1))lt(-2), then

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  15. The number of solutions of the equation z^2+absz^2=0, where zinc is

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  16. Let z, omega be complex numbers such that barz+ibaromega=0 and arg(z o...

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  17. The number of roots of the equation z^15=1 satisfying abs(argz)ltpi/2 ...

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  18. If A(z1), B(z2), C(z3) are the vertices of an equilateral triangle ABC...

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  19. If 1, omega,omega^2 are the three cube roots of unity, then (1-omega+o...

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  20. If omega is the cube root of unity then cos[(omega^200+1/omega^200)pi+...

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